Question

$expand \\ 1. \: (5x + 6) 2 \\ 2 .(6 + 2x)2 \\ 3.(9x + 6y)2 \\ 4.(6y + 5)2$

​

Answer 1

We have the following expressions :

1. (5x+6)²
2. (6+2x)²
3. (9x+6y)²
4. (6y+5)²

If we clearly observe all the expressions are related to the identity (a+b)² = a² + b² +2ab

Solutions :

$\tt{1. {(5x + 6)}^{2} } \\ \implies \tt{ {(5x)}^{2} + {(6)}^{2} + 2(5x)(6)} \\ \implies \tt{ {25x}^{2} + 36 + 60x}$

___________________________

$\tt{2. {(6 + 2x)}^{2}} \\ \implies \tt{ {(6)}^{2} + {(2x)}^{2} + 2(6)(2x)} \\ \implies \tt{36 + {4x}^{2} + 24x}$

____________________________

$\tt{3. {(9x + 6y)}^{2}} \\ \implies \tt{ {(9x)}^{2} + {(6y)}^{2} + 2(9x)(6y)} \\ \implies \tt{ {81x}^{2} + {36y}^{2} + 108xy}$

____________________________

$\tt{4. {(6y + 5)}^{2}} \\ \implies \tt{ {(6y)}^{2} + {(5)}^{2} + 2(6y)(5)} \\ \implies \tt{ {36y}^{2} + 25 + 60y}$

Hence , Solved !!

Answer 2

$\large \underline{ \blue{ \boxed{ \bf \green{Required \: Answer}}}}$