grade 9 · A1-014

Multiply polynomial expressions

Distribute every term and combine like powers without losing signs.

Learn togetherFresh problem · seed 185984731

Expand \((5x+5)(x+3)\).

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

Multiply each term in the first factor by each term in the second.
Checkpoint 2

The four partial products fill the area model.
Checkpoint 3

Combine the two x-terms.

\(5x^{2} + 8x + 15\)\(5x^{2} + 15x + 15\)\(5x^{2} + 20x + 8\)\(5x^{2} + 20x + 15\)