Question

Multiply and simplify: (s−5)(23+7)

(s−5)(2s+7
a) 25s+102
b) 2s^2+9s−35
c) 2s^2-9s+35
d) 25s^2−102

Answer 1

To multiply and simplify the expression (s-5)(2s+7), we apply the FOIL method, resulting in 2s^2 as the product of the first terms, 7s and -10s as the product of the outside and inside terms, and -35 as the product of the last terms. After combining like terms, the simplified expression is 2s^2 - 3s - 35.

Step-by-step explanation:

I am interpreting your question as wanting to multiply and simplify the expression (s-5)(2s+7). To simplify this expression, we will use the FOIL method (First, Outside, Inside, Last):

1. Multiply the First terms: s × 2s = 2s^2.
2. Multiply the Outside terms: s × 7 = 7s.
3. Multiply the Inside terms: -5 × 2s = -10s.
4. Multiply the Last terms: -5 × 7 = -35.

Combine like terms (7s and -10s):

2s^2 + (7s - 10s) - 35

2s^2 - 3s - 35

So the simplified form of the expression (s-5)(2s+7) is 2s^2 - 3s - 35.