Question

(2y+3)^2 find the suitable identity
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Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

${(2y + 3)}^{2}$

Here,this identity is used:

$\bold{\purple{\boxed{{(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy}}}$

${(2y + 3)}^{2} = {(2y)}^{2} + {(3)}^{2} + 2(2y)(3)$

$= > 4 {y}^{2} + 9 + 12y$

$\bold\fcolorbox{aqua}{orange}{Answer}$$4 {y}^{2} + 12y+9$

ㅤㅤㅤㅤㅤㅤㅤ

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Other Identity related to this :

$\bold{\boxed{ {(x -y)}^{2} = {x}^{2} + {y}^{2} - 2xy}}$

$\bold{\boxed{ {x}^{3} + {y}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}}$

$\bold{\boxed{(x + y)(x + z) = {x}^{2} + (y+ z)x + yz}}$

$\bold{\boxed{ {(x +y)}^{3} = {x}^{3} + {y}^{3} +3xy[x+y]}}$

Answer 2

$\huge\bold{\gray{\sf{Answer:}}}$

Explanation:

Given :

${(2y + 3)}^{2}$

Here,this identity is used:

$\bold{\purple{\boxed{{(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy}}}$

${(2y + 3)}^{2} = {(2y)}^{2} + {(3)}^{2} + 2(2y)(3)$

$= > 4 {y}^{2} + 9 + 12y$

$\bold\fcolorbox{aqua}{orange}{Answer}$$4 {y}^{2} + 12y+9$

ㅤㅤㅤㅤㅤㅤㅤ

____________________________________________

Other Identity related to this :

$\bold{\boxed{ {(x -y)}^{2} = {x}^{2} + {y}^{2} - 2xy}}$

$\bold{\boxed{ {x}^{3} + {y}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}}$

$\bold{\boxed{(x + y)(x + z) = {x}^{2} + (y+ z)x + yz}}$

$\bold{\boxed{ {(x +y)}^{3} = {x}^{3} + {y}^{3} +3xy[x+y]}}$