Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) x2yz - x3y3z + xyz2 = xyz.(x - x2y2 + z)
b) 4x3 + 24x2 - 12xy2 = 4x.(x2 + 6x - 3y2)
c) x2.(m+n) - 3y2.(m+n) = (m+n).(x2 - 3y2)
d) 4x2.(x-y) + 9y2.(y-x) = 4x2.(x-y) - 9y2.(x-y) = (x-y).(4x2 - 9y2)
e) x2.(a-b) + 2.(b-a) = x2.(a-b) - 2.(a-b) = (a-b).(x2 - 2)
f) 10x2.(a-2b)2 - (x2 + 2).(2b-a)2 = (a-2b)2.(10x2 - (x2 +2) ) = (a-2b)2.(9x2 - 2)
g) 50x2.(x-y)2 - 8y2.(y-x)2 = (x-y)2.2.(25x2 - 4y2)
h) 16am+2 - 45amb = 16am.a2 - 45amb = am.(16a2 - 45b)
b,\(^{x^6-x^4+4x^3+2x^2}\)
\(x^6+4x^3+4-x^4+2x^2-4\)
\(\left(x^3+2\right)^2-\left(x^2-2\right)^2\)
\(\left(x^3-x^2+4\right)\cdot\left(x^3+x^2\right)\)
c \(a^2\cdot\left(x+y\right)+b^2\cdot\left(x+y\right)-2ab\cdot\left(x+y\right)\)
\(\left(x+y\right)\cdot\left(a^2+b^2-2ab\right)\)
\(\left(x+y\right)\cdot\left(a-b\right)^2\)
xin lỗi vì ko có thời gian nên phần d bn tự làm nha
a) -y2 + 2xy - x2 + 3x - 3y
= (3x - 3y) - (x2 - 2xy + y2)
= 3(x - y) - (x - y)2
= (x - y)(3 - x + y)
b) x3 - 2x2 - x + 2
= (x3 - x) - (2x2 - 2)
= x(x2 - 1) - 2(x2 - 1)
= (x2 - 1)(x - 2)
= (x - 2)(x - 1)(x + 1)
c) x2(x + 1) - 2x(x + 1) + x + 1
= (x + 1)(x2 - 2x + 1)
= (x + 1)(x - 1)2
d) a2 + b2 + 2a - 2b - 2ab
= (a2 - 2ab + b2) + (2a - 2b)
= (a - b)2 + 2(a - b)
= (a - b)(a - b + 2)
e) 4x2 - 8x + 3
= (4x2 - 2x) - (6x - 3)
= 2x(2x - 1) - 3(2x - 1)
= (2x - 1)(2x - 3)
f) 25 - 16x2
= 52 - (4x)2
= (5 - 4x)(5 + 4x)
a, -y2 + 2xy - x2 + 3x - 3y
= - (x2 - 2xy + y2) + 3(x - y)
= - (x - y)2 + 3(x - y)
= (x - y) (3 - x + y)
b, x3 - 2x2 - x + 2
= x2 (x - 2) - (x - 2)
= (x - 2)(x2 - 1)
= (x - 2)(x - 1)(x + 1)
c, x2 (x + 1) - 2x(x + 1) + x + 1
= x2 (x + 1) - 2x(x + 1) + (x + 1)
= (x + 1)(x2 - 2x + 1)
= (x + 1)(x - 1)2
d, a2 + b2 + 2a - 2b - 2ab
= (a2 - 2ab + b2 )+ (2a - 2b)
= (a - b)2 + 2(a - b)
= (a - b)( a - b + 2)
e, 4x2 - 8x + 3
= 4x2 - 2x - 6x + 3
= 2x( 2x - 1) - 3(2x - 1)
= (2x - 1)(2x - 3)
f, 25 - 16x2
= 52 - (4x)2
= (5 - 4x)(5 + 4x)
Chúc bạn học tốt!
a) \(=x^2\left(a-b\right)-2\left(a-b\right)=\left(a-b\right)\left(x^2-2\right)\)
b) \(10x^2\left(a-2b\right)^2-\left(x^2+2\right)\left(a-2b\right)^2=\left(a-2b\right)^2\left(10x^2-x^2-2\right)=\left(a-2b\right)^2\left(9x^2-2\right)\)
c) \(50x^2\left(x-y\right)^2-8y^2\left(x-y\right)^2=\left(x-y\right)^2\left(50x^2-8y^2\right)\)
d) \(15a^mb.15^2-15a^mb.3=15^mb\left(15^2-3\right)=15^mb.222\)