Question

Expand (3a+4b)²
Please answer
Urgent..

Answer 1

Step-by-step explanation:

( 3a + 4b)²

By using identity :-

➡️(a+b)² = a²+b²+2ab

(3a+4b)²

= (3a)² + (4b)² + 2×(3a)×(4b)

= 9a² + 16b² + 24ab

I hope it helps you.

Answer 2

Given- (3a+4b)²

( 3a + 4b)²

The algebraic equations which are valid for all values of variables in them are called algebraic identities. They are also used for the factorization of polynomials. In this way, algebraic identities are used in the computation of algebraic expressions and solving different polynomials.

Identity 1

$(a+b)^2=a^2+2ab+b^2$

Identity 2

$(a-b)^2=a^2-2ab+b^2$

Identity 3

$a^2-b^2=(a+b)(a-b)$

Identity 4

$(x+a)(x+b)=x^2+(a+b)x+ab$

Algebraic expression

By using identity :-

$(a+b)^2 = a^2+b^2+2ab$

$(3a+4b)^2$

$= (3a)^2 + (4b)^2 + 2\times (3a)\times (4b)$

$= 9a^2 + 16b^2+ 24ab$

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