Bài 3: Những hằng đẳng thức đáng nhớ
Các câu hỏi tương tự
rút gọn biểu thức \(\left(a+b\right)^3+\left(b+c\right)^3+\left(c+a\right)^3-3\left(a+b\right)\left(b+c\right)\left(c+a\right)\)
ai đúng miktik nhahhh
Rút gọn
a) Aleft(3x+1right)^2-2left(3x+1right)left(3x+5right)+left(5x+5right)^2
b) Bleft(3+1right)left(3^2+1right)left(3^4+1right)left(3^8+1right)left(3^{18}+1right)left(3^{32}+1right)
c) Cleft(a+b-cright)^2+left(a-b+cright)^2-2left(b-cright)^2
d) Dleft(a+b+cright)^2+left(a-b-cright)^2+left(b-c-aright)^2+left(c-b-aright)^2
e)Eleft(a+b+c+dright)^2+left(a+b-c-dright)^2+left(a+c-b-dright)^2+left(a+d-b-cright)^2
Đọc tiếp
Rút gọn
a) \(A=\left(3x+1\right)^2-2\left(3x+1\right)\left(3x+5\right)+\left(5x+5\right)^2\)
b) \(B=\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{18}+1\right)\left(3^{32}+1\right)\)
c) \(C=\left(a+b-c\right)^2+\left(a-b+c\right)^2-2\left(b-c\right)^2\)
d) \(D=\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-b-a\right)^2\)
e)\(E=\left(a+b+c+d\right)^2+\left(a+b-c-d\right)^2+\left(a+c-b-d\right)^2+\left(a+d-b-c\right)^2\)
Rút gọn biểu thức:
a. \(\left(x+1\right)^3+\left(x-1\right)^3+x^3-3x\left(x+1\right)\left(x-1\right)\)
b.\(\left(a-b+c\right)+\left(c-b\right)^2+\left(a-b+c\right).\left(b-c\right)\)
Chứng minh các đẳng thức sau:
a) \(\left(a+b+c\right)^2+\left(b+c-a\right)^2+\left(a+c-b\right)^2+\left(a+b-c\right)^2=4\left(a^2+b^2+c^2\right)\)
b) \(\left(a+b+c\right)^3-\left(b+c-a\right)^3-\left(c+a-b\right)^3-\left(a+b-c\right)^3=24abc\)
rút gọn biểu thức
a, \(\left(a-b+c\right)^2-\left(b-c\right)^2+2ab-2ac\)
b , \(\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\left(3^{32}+1\right)\)
Bài 1: Tìm x
a) left(5-2xright)^2-160
b) x^2-4x29
c) left(x-3right)^3-left(x-3right).left(x^2+3x+9right)+9.left(x+1right)^215
d) 2.left(x-5right).left(x+5right)-left(x+2right).left(2x-3right)+x.left(x^2-8right)left(x+1right).left(x^2-x+1right)
Bài 2: Rút gọn
a) left(x^2+x+1right).left(x^2-x+1right).left(x^2-1right)
b) left(a+b-cright)^2+left(a-b+cright)^2-2.left(b-cright)^2
c) left(a+b+cright)^2-left(a+bright)^2-left(a+cright)^2-left(b+cright)^2
d) left(a+b+cright)^2+left(a-b-cright)^2+...
Đọc tiếp
Bài 1: Tìm x
a) \(\left(5-2x\right)^2-16=0\)
b) \(x^2-4x=29\)
c) \(\left(x-3\right)^3-\left(x-3\right).\left(x^2+3x+9\right)+9.\left(x+1\right)^2=15\)
d) \(2.\left(x-5\right).\left(x+5\right)-\left(x+2\right).\left(2x-3\right)+x.\left(x^2-8\right)=\left(x+1\right).\left(x^2-x+1\right)\)
Bài 2: Rút gọn
a) \(\left(x^2+x+1\right).\left(x^2-x+1\right).\left(x^2-1\right)\)
b) \(\left(a+b-c\right)^2+\left(a-b+c\right)^2-2.\left(b-c\right)^2\)
c) \(\left(a+b+c\right)^2-\left(a+b\right)^2-\left(a+c\right)^2-\left(b+c\right)^2\)
d) \(\left(a+b+c\right)^2+\left(a-b-c\right)^2+\left(b-c-a\right)^2+\left(c-a-b\right)^2\)
CMR: \(\left(a+b+c\right)^3=a^3+b^3+c^3+3\left(a+b\right)\left(b+c\right)\left(c+a\right)\)
Cho \(a^3+b^3+c^3=3abc\). Rút gọn \(P=\frac{abc}{\left(a+b\right)\left(b+c\right)\left(c+a\right)}\)
1, Tìm x:
\(\left(x+3\right)^3-x\left(3x-1\right)^2+\left(2x+1\right)\left(4x^2-2x+1\right)=28\)
2, Rút gọn:
\(\left(a+b+c\right)^2+\left(b+c-a\right)^2+\left(c+a-b\right)+\left(a+b-c\right)^2\)
Các bạn help mình với !