Question

(х + 2y) 2 – 8xy please solve guys its an algebraic expression​

Answer 1

Step-by-step explanation:

(x+2y)2-8xy

(x×2+2y×2)-8xy

2x+4y-8xy

2(x+4y-8xy)

Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

To Solve:

• $(x + 2y)^2 - 8xy$

Solution:

$\implies (x + 2y)^2 - 8xy \\ \implies (x^2 + (2y)^2 + 2(x)(2y)) - 8xy\\ \implies (x^2 + 4y^2 + 4xy) - 8xy \\ \implies x^2 + 4y^2 + 4xy - 8xy \\ \implies x^2 + 4y^2 - 4xy \\ \implies x^2 + (2y)^2 - 2(x)(2y) \\ \bold{\implies (x - 2y)^2}$

Formulae Used:

• $(a + b)^2 = a^2 + b^2 + 2ab$
• $a^2 + b^2 - 2ab = (a - b)^2$

Hope it helps!