Question

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

Answer 1

ANSWER

15w² - 25w + 42wv - 20v + 24v²

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.