Simplifying and Factoring

Find the product.

[In other words, multiply/simplify.]

5x(3x – 7y)

• 15x – 35y

• 15x² – 7y

• 15x² – 35xy

• 8x – 7y

Find the product.

[In other words, multiply/simplify.]

(x + 5)(x – 12)

• x² – 17x – 60

• x² – 7x – 60

• x² – 7x + 60

• x² – 60

Find the difference.

[In other words, subtract/simplify.]

(3x² + 7x – 10) – (7x – 2x² + 1)

• 5x² – 11

• -4x² + 9x – 11

• 5x² – 14x – 9

• x² + 14x + 11

Factor out the GCF: 6x² + 27x

• 3x(2x + 9)

• 6(x² + 27x)

• 3(x² + 9x)

• 33x³

Factor: x² + 13x + 40

• (x – 8)(x – 5)

• (x + 1)(x + 13)

• (x + 4)(x + 10)

• (x + 8)(x + 5)

Factor out a GCF. Then factor further.

4x² + 28x + 48

• (x + 3)(x + 4)

• 4(x + 3)(x + 4)

• 4(x² + 7x + 12)

• 4(x + 4)(x + 12)

Factor: x² – 13x + 36

• (x – 9)(x – 4)

• (x – 1)(x – 13)

• (x + 4)(x + 9)

• (x² – 13)(x + 36)

Factor: x² + 3x – 18

• (x – 6)(x + 3)

• (x – 3)(x + 6)

• (x + 1)(x + 3)

• (x – 5)(x + 8)