factor -9a^2b-3a^2 — step-by-step solution

The expression:

- 9 a^{2} b - 3 a^{2}

contains several variables so we pick a for factoring

Let's factorize in

ℝ

- 9 a^{2} b - 3 a^{2}

You can write the expression in factored form:

a^{2} \cdot (- 9 b - 3)

⇥Let's factor in

ℝ

(- 9 b - 3)

⇥We factor out

-3

- 9 b - 3

-3 \cdot (3 b + 1)

⇥Factor found:

3 b + 1

▷The factor

(- 9 b - 3)

factors as:

-3 \cdot (3 b + 1)

Let's replace each factor by its factorization:

a^{2} \cdot (-3) \cdot (3 b + 1)

ⓘ The minus sign is placed in front of the product:

a^{2} \cdot (-3) \cdot (3 b + 1)

- 3 a^{2} \cdot (3 b + 1)

■Factor out the common factor

a^{2}

ⅰ

- 9 a^{2} b - 3 a^{2}

- 3 a^{2} \cdot (3 b + 1)

▶Factored expression:

- 3 a^{2} \cdot (3 b + 1)