Question

4) Fill proper terms in the box.
(x + 2y)2 = x²+______+4y²​

Answer 1

Answer:

Use the above formulae to fill proper terms in the following boxes. 1. (x + 2y)^2 = x^2 + ___ + 4y^2 2. (2x – 5y)^2 = __ – 20xy + __

Answer 2

Answer:

4xy.

Step-by-step explanation:

We know that,

${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$

Here, instead of y we substitute 2y in its place, then,

${(x + 2y)}^{2} = {x}^{2} + {(2y)}^{2} + 2x(2y)$

${(x + 2y)}^{2} = {x}^{2} + 4xy + {4y}^{2}$

Therefore, our required term is 4xy.

Hope it helps you.

Good Luck.