Bài 3: Những hằng đẳng thức đáng nhớ
Các câu hỏi tương tự
Rút gọn các biểu thức:
a, P=\(\left(5x-1\right)+2\left(1-5x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
b, Q=\(\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
Rút gọn biểu thức :
a) 2left(x-yright)left(x+yright)+left(x+yright)^2+left(x-yright)^2
b) Pleft(5x-1right)+2left(1-5xright)left(4+5xright)+left(5x+4right)^2
c) Qleft(x-yright)^3+left(y+xright)^3+left(y-xright)^3-3xyleft(x+yright)
d) P 12left(5^2+1right)left(5^4+1right)left(5^8+1right)left(5^{16}+1right)
Đọc tiếp
Rút gọn biểu thức :
a) \(2\left(x-y\right)\left(x+y\right)+\left(x+y\right)^2+\left(x-y\right)^2\)
b) P=\(\left(5x-1\right)+2\left(1-5x\right)\left(4+5x\right)+\left(5x+4\right)^2\)
c) Q=\(\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
d) P = \(12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
Rút gọn :
A=\(\left(x-6\right)^2+\left(x+6\right)^2\)
B=\(\left(x+y+3\right)^2-\left(x^2+y^2+9\right)\)
C=\(\left(5x-2\right)\cdot\left(5x+2\right)-\left(5x-1\right)^2\)
D=\(\left(100^2+98^2+96^2+...+2^2\right)-\left(99^2+97^2+95^2+...+1^2\right)\)
Rút gọn biểu thức:
a) Aleft(x-yright)^3+left(y+xright)^3+left(y-xright)^3-3xyleft(x+yright)
b) B3x^2left(x+1right)left(x-1right)-left(x^2-1right)left(x^4+x^2+1right)+left(x^2-1right)^3
c) Cleft(x+yright)left(x^2-xy+y^2right)+left(x-yright)left(x^2+xy+y^2right)-2x^3
d) Dleft(x+1right)^3+left(x-1right)^3+x^3-3xleft(x+1right)left(x-1right)
Đọc tiếp
Rút gọn biểu thức:
a) \(A=\left(x-y\right)^3+\left(y+x\right)^3+\left(y-x\right)^3-3xy\left(x+y\right)\)
b) \(B=3x^2\left(x+1\right)\left(x-1\right)-\left(x^2-1\right)\left(x^4+x^2+1\right)+\left(x^2-1\right)^3\)
c) \(C=\left(x+y\right)\left(x^2-xy+y^2\right)+\left(x-y\right)\left(x^2+xy+y^2\right)-2x^3\)
d) \(D=\left(x+1\right)^3+\left(x-1\right)^3+x^3-3x\left(x+1\right)\left(x-1\right)\)
Tìm x:
a/ \(\left(6x-2\right)^2+\left(5x-2\right)^2-4\left(3x-1\right)\left(5x-2\right)=0\)
b/ \(\left(x-1\right)\left(x^2+x+1\right)-x\left(x+2\right)\left(x-2\right)=5\)
c/ \(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)+3\left(x^2-4\right)=2\)
Tính:
1) left(5x^2-2right)left(5x^2+2right)
2) left(2a+frac{1}{2}right)+left(2a-frac{1}{2}right)
3) left(3x^2-yright)left(3x^2+yright)
4) left(frac{1}{2}x-1right)left(frac{1}{2}x+1right)
5) left(frac{3}{4}x+2right)left(frac{3}{4}x-2right)
6) left(frac{1}{2}x^2-5yright)^2
7) left(1+3a^2right)left(3a^2-1right)
Đọc tiếp
Tính:
1) \(\left(5x^2-2\right)\)\(\left(5x^2+2\right)\)
2) \(\left(2a+\frac{1}{2}\right)+\left(2a-\frac{1}{2}\right)\)
3) \(\left(3x^2-y\right)\left(3x^2+y\right)\)
4) \(\left(\frac{1}{2}x-1\right)\left(\frac{1}{2}x+1\right)\)
5) \(\left(\frac{3}{4}x+2\right)\left(\frac{3}{4}x-2\right)\)
6) \(\left(\frac{1}{2}x^2-5y\right)^2\)
7) \(\left(1+3a^2\right)\left(3a^2-1\right)\)
Rút gọn biểu thức sau:
d) \(\left(x^2-5x+1\right)^2+2\left(5x-1\right)\left(x^2-5x+1\right)+\left(5x-1\right)^2\)
* Tìm x :
a, \(\left(3x-2\right)^2-\left(3x-5\right).\left(3x+2\right)=11\)
b, \(\left(4x-3\right)^2-\left(4x-5\right).\left(4x+5\right)=32\)
c, \(\left(5x-2\right)^2-\left(5x+3\right).\left(5x-5\right)=1\)
d, \(\left(x-4\right)^2-\left(x-7\right).\left(2x-3\right)=5-x^2\)
1. làm tính nhân
a,2x.left(x^2-7x-3right)
b,left(-2x^3+dfrac{3}{4}y^2-7xyright).4xy^2
c,left(-5x^3right).left(2x^2+3x-5right)
d,left(2x^2-dfrac{1}{3}xy+y^2right).left(-3x^3right)
e,left(x^2-2x+3right).left(x-4right)
f,left(2x^3-3x-1right).left(5x+2right)
2.tính nhanh
a,892^2+892.216+108^2
b,36^2+26^2-52.36
3.tìm x biết
a,7x^2-280
b,dfrac{2}{3}x.left(x^2-4right)0
c,2x.left(3x-5right)-left(5-3xright)0
d,left(2x-1right)^2-250
4.rút gọn và tính gái trị biểu thức
Mleft(x+3right)left(...
Đọc tiếp
1. làm tính nhân
a,\(2x.\left(x^2-7x-3\right)\)
b,\(\left(-2x^3+\dfrac{3}{4}y^2-7xy\right).4xy^2\)
c,\(\left(-5x^3\right).\left(2x^2+3x-5\right)\)
d,\(\left(2x^2-\dfrac{1}{3}xy+y^2\right).\left(-3x^3\right)\)
e,\(\left(x^2-2x+3\right).\left(x-4\right)\)
f,\(\left(2x^3-3x-1\right).\left(5x+2\right)\)
2.tính nhanh
a,\(892^2+892.216+108^2\)
b,\(36^2+26^2-52.36\)
3.tìm x biết
a,\(7x^2-28=0\)
b,\(\dfrac{2}{3}x.\left(x^2-4\right)=0\)
c,\(2x.\left(3x-5\right)-\left(5-3x\right)=0\)
d,\(\left(2x-1\right)^2-25=0\)
4.rút gọn và tính gái trị biểu thức
M=\(\left(x+3\right)\left(x^2-3x+9\right)-\left(x^3+54-x\right)\)
với x=27