# How do you find the product of (4a+7)^2?

Jul 14, 2017

#### Answer:

See a solution process below:

#### Explanation:

We can use this special rule of a quadratic to simplify this expression:

${\left(x + y\right)}^{2} = {x}^{2} + 2 x y + {y}^{2}$

Substituting:

$4 a$ for $x$ and $7$ for $y$ gives:

${\left(4 a + 7\right)}^{2} \implies$

${\left(4 a\right)}^{2} + \left(2 \cdot 4 a \cdot 7\right) + {7}^{2} \implies$

$16 {a}^{2} + 56 a + 49$