Question

Factorise using identity: x² + 20x + 100

Answer 1

Answer:

( x + 10)^2

Step-by-step explanation:

= x² + 20x + 100

= Can be written as : (x)^2 + [(x(10)] + (10)^2

= This is in form of a^2 + 2ab + b^2 = (a + b)^2

= Therefore,

= a=x, b=10

= ( x + 10)^2

Answer 2

Step-by-step explanation:

$x {}^{2} + 10x + 10x + 100 \\ x(x + 10) + 10(x + 10) \\ (x + 10)(x + 10)$