Question

evaluate the following using suitable identities
$(3x + 2y) ^{2}$
​

Answer 1

(3x)square + 2.3x.2y + (2y)square
=6xsquare +12xy+ 4y square

Answer 2

Question:

Evaluate   (3x + 2y)²using suitable identities

Given :

We are given with the expression (3x + 2y)²

To Find:

The value of the given expression

Identity Used:

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

Solution:

$(3x+2y)^2\\\\\\\to (a+b)^2=a^2+b^2+2ab\\\\\\= (3x)^2+(2y)^2+2\times3x\times2y\\\\\\=9x^2+4y^2+12xy$

Answer:

9x² + 4y² + 12xy

Few Law's Of Exponents :

$\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}$

Be Brainly !