Question

Factorise: 3(x+5)^2-2(x+5)-8​

Answer 1

Step-by-step explanation:

$3 ({x + 5})^{2} - 2(x + 5) - 8 \\ 3( {x }^{2} + 25 + 10x) - 2x - 10 - 8 \\ 3 {x}^{2} + 75 + 30x - 2x - 10 - 8 \\ 3 {x}^{2} + 28x + 57 \\ 3 {x}^{2} + 9x + 19x + 57 \\ 3x(x + 3) + 19(x + 3) \\( 3x + 19)(x + 3)$