Question

Factorise :2x²-15x-27​

Answer 1

Answer:

The answer is $(x-9)(2x+3)$

Step-by-step explanation:

Given expression

 $2x^2-15x-27$

$=2x^2-18x+3x-27$, split the middle term

$=(2x^2-18x)+(3x-27)$, group the terms

$=2x(x-9)+3(x-9)$, factor both the terms

$=(x-9)(2x+3)$, factor out the common terms from both