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)