Question

factorise 81+18x+xsquare

Answer 1

Answer:

$\boxed{\sf {(x + 9)}^{2}}$

Step-by-step explanation:

Factor the following:

$\sf \implies {x}^{2} + 18x + 81$

The factors of 81 that sum to 18 are 9 and 9.

So,

$\sf \implies {x}^{2} + (9 + 9)x + 81$

$\sf \implies {x}^{2} + 9x + 9x + 81$

$\sf \implies x(x + 9) + 9(x + 9)$

$\sf \implies (x + 9)(x + 9)$

$\sf \implies {(x + 9)}^{2}$

Answer 2

81+18x+x²

= 81+(9+9)x+x²

= 81+9x+9x+x²

= 9(9+x)+x(9+x)

= (9+x)(9+x)