Question

4a^2+28a perfect square

Answer 1

SOLUTION

TO DETERMINE

The expression to make the below expression a perfect square

$\sf{4 {a}^{2} + 28a}$

EVALUATION

Here the given expression is

$\sf{4 {a}^{2} + 28a}$

We simplify it

$\sf{4 {a}^{2} + 28a}$

$\sf{ = {(2a)}^{2} + 2 \times 2a \times 7 + {(7)}^{2} - {(7)}^{2} }$

$\sf{ = {(2a + 7)}^{2} - 49 }$

Hence we have to add 49 in order to make the given expression a perfect square

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. solve: 49³-30³+(....)³= 3 × 49 × 30 × 19

https://brainly.in/question/17577612

2. If polynomial 3x^3 – 2x^2 + 4x + 1 is divided by x - 2, then remainder is

https://brainly.in/question/31996931