\(=\left(x-y\right)^2-2\left(x-y\right)=\left(x-y\right)\left(x-y-2\right)\)

(x + 1)⁴ + (x² + x + 1)² = 2x⁴ + 6x³ + 9x² + 6x + 2

= (2x⁴ + 4x³ + 4x²) + (2x³ + 4x² + 4x) + (x² + 2x + 2)

= (x² + 2x + 2)(2x² + 2x + 1)

\(=6x^2+5x-3xy\)

\(=x\left(6x+5-3y\right)\)

bn có phải Mod Yonnii bên hoidap247 ko ak?

x⁸+64

=(x⁴)²+16x⁴+8²-16x⁴

=(x⁴+8)²-(4x²)²

=(x⁴+8-4x²)(x⁴+8+4x²)

\(x^2-4x+4-y^2\)

\(=\left(x-2\right)^2-y^2\)

\(=\left(x-2-y\right)\left(x-2+y\right)\)

(x - 2)² - y² = (x - 2 - y)(x - 2 + y)

\(x^2-4x+4-y^2\)

\(=\left(x-2\right)^2-y^2\)

\(=\left(x-2-y\right)\left(x-2+y\right)\)

(x - 2)² - y² = (x - 2 - y)(x - 2 + y)

\(=x\left(x-4\right)+5\left(x-4\right)=\left(x+5\right)\left(x-4\right)\)

x(x-4)+5(x-4)

(x+5)(x-4)

d: \(x^2-xy+2y-2x\)

=x(x-y)-2(x-y)

=(x-y)(x-2)

c: \(x^2-6x-4y^2+9\)

\(=\left(x^2-6x+9\right)-4y^2\)

\(=\left(x-3\right)^2-4y^2\)

=(x-3-2y)(x-3+2y)

b: \(x^3\left(2y-1\right)-125\left(2y-1\right)\)

\(=\left(2y-1\right)\left(x^3-125\right)\)

\(=\left(2y-1\right)\left(x-5\right)\left(x^2+5x+25\right)\)

a: \(5x^3y-10x^2y^2+5xy^3\)

\(=5xy\cdot x^2-5xy\cdot2xy+5xy\cdot y^2\)

\(=5xy\left(x^2-2xy+y^2\right)=5xy\left(x-y\right)^2\)