Question

Giúp với dg càn ngay bây giờ

(X²+4)²-16x²

X⁴-y⁴

X²-3y²

(4x²-4x+1)-(x+1)²

125x³-1

Answer 1

\(x^4-y^4\)

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

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

Answer 2

\(125x^3-1\)

\(=\left(5x\right)^3-1^3\)

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

Answer 3

\(x^2-3y^2\)

\(=x^2-\left(\sqrt{3}y\right)^2\)

\(=\left(x+\sqrt{3}y\right)\left(x-\sqrt{3}y\right)\)

Answer 4

\(\left(4x^2-4x+1\right)-\left(x+1\right)^2\)

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

\(=\left(2x-1-x-1\right)\left(2x-1+x+1\right)\)

\(=3x\left(x-2\right)\)

Answer 5

\(\left(x^2+4\right)^2-16x^2\)

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

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

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