Question

Evaluate the following polynomials using the Area Model or Distributive Property.

Answer 1

We have the given expression

$-2(x^2-3x)-(2x^2+4x+5)$

By applying the distributive property, we can to multiply the number -2 by the term into the first parentheses and get

$-2x^2+6x-(2x^2+4x+5)$

Similarly, by distributing the minus sign into the remaining parentheses, we have

$-2x^2+6x-2x^2-4x-5$

Now, by collecting similar terms, we obtain

$-4x^2+2x-5$

This is becuase the similar terms are:

Therefore, the given expression is reduced to:

$-4x^2+2x-5$