Question

What is the product of (a + 3)(a - 2)

Answer 1

`\large\boxed{(a+3)(a-2)=a^2+a-6}`

Explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

`(a+3)(a-2)=(a)(a)+(a)(-2)+(3)(a)+(3)(-2)\\\\=a^2-2a+3a-6\qquad\text{combine like terms}\\\\=a^2+a-6`

Answer 2

Answer:
`a^2+a-6`

Explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keepn on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Then:

`(a)(a)-(a)(2)+(3)(a)-(3)(2)=a^2-2a+3a-6=a^2+a-6`