Question

(3x+4y)^2+(4x+3y)^2 simplify using identity

Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\sf ANSWER}} \\ \huge \: hey..... \\ {(3x + 4y)}^{2} + {(4x + 3y)}^{2} \\ 9 {x}^{2} + 16 {y}^{2} + 24xy + 16 {x}^{2} + 9 {y}^{2} + 24xy \\ 25 {x}^{2} + 25 {y}^{2} + 48xy$

Answer 2

Step-by-step explanation:

${(3x + 4y)}^{2} + {(4x + 3y)}^{2} \\ \\ using \: identity \\ (a + b) {}^{2} = {a}^{2} + 2ab + {b}^{2} \\ \\( {(3x)}^{2} + 2 \times 3x \times 4y + {(4y)}^{2} ) + ( {(4x)}^{2} + 2 \times 4x \times 3y + {(3y)}^{2} ) \\ \\ 9 {x}^{2} + 24xy + 16 {y}^{2} + 16 {x}^{2} + 24xy + 9 {y}^{2} \\ \\ 25 {x}^{2} + 25 {y}^{2} + 48xy$