Question

How to factorise:

1) 9t²w - 3.

2) 4(x - 5)² + 3 (x - 5)

Answer 1

`9t^2w-3\implies (\underline{3}\cdot 3)t^2w-\underline{3}\implies \stackrel{\textit{common factoring}}{\underline{3}(3t^2w-1)} \\\\[-0.35em] ~\dotfill\\\\ 4(x-5)^2+3(x-5)\implies 4\underline{(x-5)}(x-5)+3\underline{(x-5)} \\\\\\ \stackrel{\textit{common factoring}}{\underline{(x-5)}[4(x-5)+3]}\implies (x-5)[4x-20+3]\implies (x-5)(4x-17)`