← Interactive lessons

Jigsaw — Expand (x+3)(x−2)

Mathematics

Task: Expand and simplify: (x + 3)(x − 2).

Rebuild the answer: model on the left, hint on the right. Then pick your choice-board level.

Model · Step 1

x × x = x²

Hint

First × first.

Model · Step 2

x × (−2) = −2x

Hint

First × last.

Model · Step 3

3 × x = 3x

Hint

Outer × first of second.

Model · Step 4

3 × (−2) = −6

Hint

Last × last.

Model · Step 5

x² − 2x + 3x − 6 → x² + x − 6

Hint

Collect the x terms.

Choice board