Question

$-2y(2y+3)+5(2y+3)$

Explanation:

Step1: Identify common factor

Notice that $(2y+3)$ is a common factor in both terms.

Step2: Factor out the common term

Factor $(2y+3)$ from the expression:
$$(2y+3)(-2y + 5)$$

Step3: Simplify (optional reorder)

We can rewrite the second parentheses for standard order:
$$(2y+3)(5-2y)$$

Answer:

$\boldsymbol{(2y+3)(5-2y)}$ or $\boldsymbol{(2y+3)(-2y+5)}$