Question

Simplify to create an equivalent expression: 8k−5(−5k+3)

a) 13k+15
b) 13k−15
c) 40k−154
d) −13k+15

Answer 1

The expression 8k−5(−5k+3) simplifies to 33k−15, which does not match any of the provided options.

Step-by-step explanation:

To simplify the expression 8k−5(−5k+3), follow these steps:

1. Distribute the −5 inside the parentheses to both −5k and +3: −5(−5k) + −5(3).
2. This simplifies to +25k − 15.
3. Combine like terms with 8k: 8k + 25k − 15.
4. Finally, 8k + 25k equals 33k, so we get 33k − 15 as the simplified expression.

None of the provided options (a, b, c, d) match this correct simplification. Therefore, the correct answer is not listed.