Question

(a+b)
${?}^{2}$

Answer 1

Hello!

$\star\: \bf\small{ANSWER}$ :

$\boxed{\red{\sf (a+b)^{2} = a^{2} +2ab+b^{2}}}$

$\star\: \bf\small{EXAMPLES}$ :

• $\sf (x+2y)^{2} = x^{2}+4xy+4y^{2}$

• $\sf (1+4)^{2} = 1^{2} + 2(1)(4)+4^{2}$

$\implies 1+8+16 = \bf\small{25}$

• $\sf (x-3y)^{2} = (x+(-3y))^{2}$

$\implies \sf x^{2} + (-6xy) + 9y^{2}$

Cheers!

Answer 2

given :-

(a + b)²

(a + b)² is the first identity of algebraic expression. this identity is used in algebraic expression to expand different expressions.

(a + b)² = a² + b² + 2ab

examples of algebraic expression in which this identity is used :-

• (3 + 5)²

here a = 3 and b = 5

= (3)² + (5)² + 2(3)(5)

= 9 + 25 + 30

= 64

• (2y + z)²

here a = 2y and b = z

= (2y)² + (z)² + 2(2y)(z)

= 4y² + z² + 4yz

HOPE THIS HELPS..!!