Question

Factorize the following expression
${(x + 2y)}^{2} - 4 {(2x - y)}^{2}$
by step by step I will then as BRAINLIEST

Answer 1

${(x + 2y)}^{2} - 4 {(2x - y)}^{2} \\ = {(x + 2y)}^{2} - {(2)}^{2} {(2x - y)}^{2} \\ = {(x + 2y)}^{2} - {(4x - 2y)}^{2} \\ = (5x)(4y - 3x) \\ \\ since \: {x}^{2} - {y}^{2} = (x + y)(x - y)$
hope it helps