Factor.
1) \(4x-xy+12-3y\)
2) \(x^6+7x^3-8\)
3) \(-125-w^9\)
4) \(\left(y^3-8\right)+\left(y^2+2y+4\right)\)
5) \(w^{10}-w^6-w^4+1\)
Expand.
6) \([(2x+y)^2(2x-y)^2]^2\)
7) \(2x(x+3)(x^2+81)(x-3)(x^2+9)\)
8) Find the value of \(xy\) if \(x^3+y^3=16\) and \(x+y=2\).
9) Find the value of \(x^3-\large\frac{1}{x^3}\) if \(x-\large\frac{1}{x}=\normalsize{5}\).
10) \(x^3+x^2-16x+14=(x-3)Q(x)+R\). Find \(Q(x)\) and \(R\).
Solution Bank
1) \(4x-xy+12-3y\)
2) \(x^6+7x^3-8\)
3) \(-125-w^9\)
4) \(\left(y^3-8\right)+\left(y^2+2y+4\right)\)
5) \(w^{10}-w^6-w^4+1\)
Expand.
6) \([(2x+y)^2(2x-y)^2]^2\)
7) \(2x(x+3)(x^2+81)(x-3)(x^2+9)\)
8) Find the value of \(xy\) if \(x^3+y^3=16\) and \(x+y=2\).
9) Find the value of \(x^3-\large\frac{1}{x^3}\) if \(x-\large\frac{1}{x}=\normalsize{5}\).
10) \(x^3+x^2-16x+14=(x-3)Q(x)+R\). Find \(Q(x)\) and \(R\).
Solution Bank