Question

Can somebody help me please and thank you

Answer 1

We know that,

${ \longrightarrow \bf \qquad \: {(a + b)}^{2} = {a}^{2} + 2.a.b + {b}^{2} }$

Solution :

${ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + 9 }$

We can also write it as,

${ \longrightarrow \sf \qquad \: {4x}^{2} + 12x + {3}^{2} }$

Now, using the formula, we'll solve the expression.

${ \longrightarrow \sf \qquad \: {2x}^{2} + 2.2x.3 + {3}^{2} }$

${ \longrightarrow \sf \qquad \: (2x + 3)^{2} }$

Since,

• Area = (side)²

Therefore,

• The Length of one side is (2x + 3)