Các câu hỏi tương tự
Thực hiện phép tính
a, \(A=\left(3x^2y-11x^2-5y\right)\left(8xy-5x+6\right)\)
b,\(B=\left(-4x^2y-5x^2+3y^2\right)\left(2x^2-xy+3y^2\right)\)
c,\(C=5\left(2x-1\right)^2+4\left(x-1\right)\left(x+3\right)-2\left(3x-1\right)\left(3x+1\right)\)
left(a^2+b^2-5right)^2-4left(ab+2right)^2left(a^2+b^2-5right)^2-2^2left(ab+2right)^2left(a^2+b^2-5right)^2-left(2ab+4right)^2left(a^2+b^2-5-2ab-4right)left(a^2+b^2-5+2ab+4right)left[left(a^2-2ab+b^2right)-9right]left[left(a^2+2ab+b^2right)-1right]left[left(a-bright)^2-3^2right]left[left(a+bright)^2-1^2right]left(a-b-3right)left(a-b+3right)left(a-b-1right)left(a-b+1right) left(x-y+4right)^2-left(2x+3y-1right)^2left(x-y+4-2x-3y+1right)left(x-y+4+2x+3y-1right)left(5-x-4yright)left(3+3x+2yright)
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\(\left(a^2+b^2-5\right)^2-4\left(ab+2\right)^2\)
\(=\left(a^2+b^2-5\right)^2-2^2\left(ab+2\right)^2\)
\(=\left(a^2+b^2-5\right)^2-\left(2ab+4\right)^2\)
\(=\left(a^2+b^2-5-2ab-4\right)\left(a^2+b^2-5+2ab+4\right)\)
\(=\left[\left(a^2-2ab+b^2\right)-9\right]\left[\left(a^2+2ab+b^2\right)-1\right]\)
\(=\left[\left(a-b\right)^2-3^2\right]\left[\left(a+b\right)^2-1^2\right]\)
\(=\left(a-b-3\right)\left(a-b+3\right)\left(a-b-1\right)\left(a-b+1\right)\)
\(\left(x-y+4\right)^2-\left(2x+3y-1\right)^2\)
\(=\left(x-y+4-2x-3y+1\right)\left(x-y+4+2x+3y-1\right)\)
\(=\left(5-x-4y\right)\left(3+3x+2y\right)\)
21 tháng 12 2023 lúc 18:04
Bài 1: Phân tích đa thức thành nhân tử:1) 3x^3y^2-6xy2) left(x-2yright).left(x+3yright)-2.left(x-2yright)3) left(3x-1right).left(x-2yright)-5x.left(2y-xright)4) x^2-y^2-6y-95) left(3x-yright)^2-4y^26) 4x^2-9y^2-4x+1 8) x^2y-xy^2-2x+2y9) x^2-y^2-2x+2yBài 2: Tìm x:1) left(2x-1right)^2-4.left(2x-1right)02) 9x^3-x03) left(3-2xright)^2-2.left(2x-3right)04) left(2x-5right)left(x+5right)-10x+250
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Bài 1: Phân tích đa thức thành nhân tử:
1) \(3x^3y^2-6xy\)
2) \(\left(x-2y\right).\left(x+3y\right)-2.\left(x-2y\right)\)
3) \(\left(3x-1\right).\left(x-2y\right)-5x.\left(2y-x\right)\)
4) \(x^2-y^2-6y-9\)
5) \(\left(3x-y\right)^2-4y^2\)
6) \(4x^2-9y^2-4x+1\)
8) \(x^2y-xy^2-2x+2y\)
9) \(x^2-y^2-2x+2y\)
Bài 2: Tìm x:
1) \(\left(2x-1\right)^2-4.\left(2x-1\right)=0\)
2) \(9x^3-x=0\)
3) \(\left(3-2x\right)^2-2.\left(2x-3\right)=0\)
4) \(\left(2x-5\right)\left(x+5\right)-10x+25=0\)
Tìm x
a)\(3x\left(2x+1\right)=5\left(2x+1\right)\)
b)\(\left(3x-8\right)^2=\left(2x-7\right)^2\)
c)\(\left(4x^2-3x-18\right)^2-\left(4x^2+3x\right)^2=0\)
d)\(\left(9x^2-16\right)^2-4\left(3x+4\right)^2\)
e)\(\left(2x-1\right)\left(4x^2+2x+1\right)=x\left(x-8\right)\)
Làm giúp mình nha
\(a,\left(x-2\right)\cdot\left(x+2\right)\cdot\left(x^2-10\right)=72\)
\(b,\left(x+1\right)\cdot\left(x+2\right)\cdot\left(x+3\right)\cdot\left(x+4\right)\cdot\left(x+5\right)=40\)
\(c,\left(2x-5\right)^2=\left(4x+7\right)^2\)
\(d,\left(2x^2+3x-1\right)^2-5\cdot\left(2x^2+3x+3\right)+24=0\)
Câu 1: Rút gọn các biểu thức sau:1. left(x+y-zright)^2+left(y-zright)^2+2zleft(z-yright)2. left(3x+4right)^2+left(x-4right)^2+2left(3x+4right)left(x-4right)3.left(3+1right)left(3^2+1right)left(3^4+1right)left(3^8+1right)left(3^{16}+1right)left(3^{32}+1right)4. 2xleft(2x-1right)^2-3xleft(x+3right)left(x-3right)-4xleft(x+1right)5. left(3+1right)left(3^2+1right)left(3^4+1right)left(3^8+1right)left(3^{16}+1right)left(3^{32}+1right)Câu 2: Tìm x1. 4left(x+1right)^2+left(2x-1right)^2-8left(x-1right)lef...
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Câu 1: Rút gọn các biểu thức sau:
1. \(\left(x+y-z\right)^2+\left(y-z\right)^2+2z\left(z-y\right)\)
2. \(\left(3x+4\right)^2+\left(x-4\right)^2+2\left(3x+4\right)\left(x-4\right)\)
3.\(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
4. \(2x\left(2x-1\right)^2-3x\left(x+3\right)\left(x-3\right)-4x\left(x+1\right)\)
5. \(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
Câu 2: Tìm x
1. \(4\left(x+1\right)^2+\left(2x-1\right)^2-8\left(x-1\right)\left(x+1\right)=1\)
2. \(\left(3x+1\right)^2+\left(5x-2\right)^2=34\left(x+2\right)\left(x-2\right)\)
3. \(\left(x+3\right)^2+\left(x-2\right)^2=2x^2\)
4. \(4x^2-9-x\left(2x-3\right)=0\)
5. \(4x^2-12x+9=0\)
Câu 3: Tìm GTNN
D = \(\left(2x-1\right)^2+\left(x+2\right)^2\)
Câu 4: Cho \(a^2+b^2+c^2=ab+bc+ac\) . Chứng minh rằng a=b=c
rút gọn biểu thức sau bằng cách nhanh nhấtA left(a^2+b^2-c^2right)^2-left(a^2-b^2+c^2right)^2-4a^2b^2B left(3x^3+3x+1right)cdotleft(3x^3-3x+1right)-left(3x^3+1right)^2C left(2-6xright)^2+left(2-5xright)^2+2cdotleft(6x-2right)cdotleft(2-5xright)D 5cdotleft(3x-1right)^2+4cdotleft(5x+1right)^2-12cdotleft(5x-2right)left(5x+2right)E left(3x-1right)^2+left(2x+4right)cdotleft(1-3xright)+left(x+2right)^2G left(x-1right)^3+4cdotleft(x+1right)cdotleft(1-xright)+3cdotleft(x-1right)cdotleft(x^2+x+1rig...
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rút gọn biểu thức sau bằng cách nhanh nhất
A = \(\left(a^2+b^2-c^2\right)^2-\left(a^2-b^2+c^2\right)^2-4a^2b^2\)
B = \(\left(3x^3+3x+1\right)\cdot\left(3x^3-3x+1\right)-\left(3x^3+1\right)^2\)
C = \(\left(2-6x\right)^2+\left(2-5x\right)^2+2\cdot\left(6x-2\right)\cdot\left(2-5x\right)\)
D = \(5\cdot\left(3x-1\right)^2+4\cdot\left(5x+1\right)^2-12\cdot\left(5x-2\right)\left(5x+2\right)\)
E = \(\left(3x-1\right)^2+\left(2x+4\right)\cdot\left(1-3x\right)+\left(x+2\right)^2\)
G = \(\left(x-1\right)^3+4\cdot\left(x+1\right)\cdot\left(1-x\right)+3\cdot\left(x-1\right)\cdot\left(x^2+x+1\right)\)
Phân tích đa thức thành nhân tử :
a) \(4b^2c^2-\left(b^2+c^2-a^2\right)^2\)
b) \(\left(ax+by\right)^2-\left(ay+bx\right)^2\)
c) \(\left(a^2+b^2-5\right)^2-4\left(ab+2\right)^2\)
d) \(\left(4x^2-3x-18\right)^2-\left(4x^2+3x\right)^2\)
chứng minh các biểu thức sau không phụ thuộc vào biến :a) left(x+1right)left(x^2-x+1right)-left(x-1right)left(x^2+x+1right)b) left(2x+3yright)left(4x^2-6xy+9y^2right)-left(2x-3yright)left(4x^2+6xy+9y^2right)-27left(2y^3-1right)c) left(x-1right)^3-left(x+4right)left(x^2-4x+16right)+3xleft(8-1right)d ) left(x+y+zright)^2+left(x-yright)^2-left(x-zright)^2+left(y-zright)^2-3left(x^2+y^2+z^2right)CÁC BẠN GIÚP MÌNH VỚIcác anh chị cộng tác viên ơi giúp em với
Đọc tiếp
chứng minh các biểu thức sau không phụ thuộc vào biến :
a) \(\left(x+1\right)\left(x^2-x+1\right)-\left(x-1\right)\left(x^2+x+1\right)\)
b) \(\left(2x+3y\right)\left(4x^2-6xy+9y^2\right)-\left(2x-3y\right)\left(4x^2+6xy+9y^2\right)-27\left(2y^3-1\right)\)
c) \(\left(x-1\right)^3-\left(x+4\right)\left(x^2-4x+16\right)+3x\left(8-1\right)\)
d ) \(\left(x+y+z\right)^2+\left(x-y\right)^2-\left(x-z\right)^2+\left(y-z\right)^2-3\left(x^2+y^2+z^2\right)\)
CÁC BẠN GIÚP MÌNH VỚI
các anh chị cộng tác viên ơi giúp em với