Answer: x 2 − 3x − 10
Explanation:
each term in the second factor is multiplied by each term
in the first factor
⇒ ( x − 5 ) ( x + 2 )
= x ( x + 2 ) − 5 ( x + 2 ) ← distribute
= ( x × x ) +( x × 2 ) + ( − 5 × x ) + ( − 5 × 2 )
= x 2 + 2 x − 5 x − 10 ← collect like terms
= x 2 − 3x − 10
