Question

(V-2) (v+7) multiply simplify the answer

Answer 1

To simplify (V-2)(V+7), use the FOIL method to multiply the binomials, combine like terms, and obtain the simplified expression V^2 + 5V - 14.

Step-by-step explanation:

The student is asking how to simplify the product of two binomials, (V-2)(V+7). To simplify this expression, we will use the FOIL method, which stands for First, Outer, Inner, Last. It is a standard procedure in algebra to multiply two binomials.

Here are the steps to simplify (V-2)(V+7):

1. Multiply the First terms: V * V = V^2.
2. Multiply the Outer terms: V * 7 = 7V.
3. Multiply the Inner terms: -2 * V = -2V.
4. Multiply the Last terms: -2 * 7 = -14.
5. Combine like terms, 7V and -2V, to get 5V.
6. Write the simplified expression: V^2 + 5V - 14.

The simplified expression is V^2 + 5V - 14.

During this process, we eliminate terms where possible and check the answer to see if it is reasonable.