Question

Phân tích đa thức thành nhân tử

a) x^4-1

b) 81y^2-( y^2+6y^2)

c) (x-a)^4-(x+a)^4

d) a^4 - b^2(2a-b)^2

Giúp mik vs mik cần gấp

Answer 1

a) x\(^4\)-1 = (x\(^2\)-1).(x\(^2\)+1)

Answer 2

a: \(=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)\)

c: \(=\left(x-a-x-a\right)\left(x-a+x+a\right)\left(x^2+2ax+a^2+x^2-2ax+a^2\right)\)

\(=-2a\cdot2x\cdot\left(2x^2+2a^2\right)\)

\(=-8ax\left(x^2+a^2\right)\)

d: \(=a^4-\left(2ab-b^2\right)^2\)

\(=\left(a^2-2ab+b^2\right)\left(a^2+2ab-b^2\right)\)

\(=\left(a-b\right)^2\left(a^2+2ab-b^2\right)\)