Question

factorize the following-

$(x + 4 {y}^{2} ) - 16xy$
it's maths

Answer 1

$\bold{Answer :}$

Now,

(x + 4y)² - 16xy

= (x² + 8xy + 16y²) - 16xy,

using the identity
(a + b)² = a² + 2ab + b²

= x² + 8xy + 16y² - 16xy

= x² - 8xy + 16y²

= (x - 4y)²,

using the identity
(a - b)² = a² - 2ab + b²

= (x - 4y) (x - 4y),

which is the required factorization.

#$\bold{MarkAsBrainliest}$