Q18.

Find each product.

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

Verified

Answer

The product of $(2 a - 5) (3 a + 5)$ is $6 a^{2} - 5 a - 25$ .

1Step 1. Write distributive property.

For any numbers, $a, b$ and c, $a (b + c) = a b + a c$ .

2Step 2. Apply distributive property.

Apply distributive property to the given expression.

$2 a (3 a + 5) - 5 (3 a + 5) = 2 a \cdot 3 a + 2 a \cdot 5 - 5 \cdot 3 a - 5 \cdot 5$

3Step 3. Multiply and simplify.

Multiply terms in the above expression and simplify it further.

$6 a^{2} + 10 a - 15 a - 25 = 6 a^{2} - 5 a - 25$

Therefore, the product of $(2 a - 5) (3 a + 5)$ is $6 a^{2} - 5 a - 25$ .