Question

(3p+4)^2
expand by using (a+b)^2
please help me find this.

Answer 1

Answer:

[a+b]²=a²+b²+2ab

(3p+4)=(3p)²+(4)²+2(3p×4)

=9p²+16+2(12p)

9p²+16+24p

Answer 2

(3p + 4)² = 9p² + 24p + 16

Given : (3p + 4)²

To find : The expanded form

Tip : Formula to use : ( a + b)² = a² + 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (3p + 4)²

Step 2 of 2 :

Expand the expression

We expand using the formula ( a + b)² = a² + 2ab + b²

$\sf {(3p + 4)}^{2}$

$\sf = {(3p)}^{2} + 2 \times 3p \times 4 + {(4)}^{2}$

$\sf = 9{p}^{2} + 24p + 16$

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