Question

Answer 1

b: \(=a\left(b^2+3\right)-3\left(b^2+3\right)=\left(b^2+3\right)\left(a-3\right)\)

d: \(=x^3\left(x^2-1\right)+\left(x^2-1\right)\)

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

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

f: \(=\left(x-2y\right)\left(x^2+2xy+4y^2\right)-\left(x-2y\right)\)

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

h: \(=\left(x-3\right)^2-9y^2\)

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