Question

Multiply.(5w+4v)(3w+6v-5)Simplify your answer.

Answer 1

15w² - 25w + 42wv - 20v + 24v²

Step-by-step explanation

To multiply these two expressions, we have to apply the distributive property for each term of the first expression to all three terms of the second expression,

So we have,

`(5w+4v)(3w+6v-5)=5w\cdot3w+5w\cdot6v+5w\cdot(-5)+4v\cdot3w+4v\cdot6v+4v\cdot(-5)`

Solve the products,

`(5w+4v)(3w+6v-5)=15w^2+30wv-25w+12wv+24v^2-20v`

Finally, add like terms,

`\begin{gathered} (5w+4v)(3w+6v-5)=15w^2-25w+(30wv+12wv)-20v+24v^2 \\ \\ (5w+4v)(3w+6v-5)=15w^2-25w+42wv+12wv-20v+24v^2 \end{gathered}`

Hence, the product is 15w² - 25w + 42wv - 20v + 24v².