factor 24a^2bm^2-36b^2m^4 — step-by-step solution

⚠ bm is read as the product b*m: for the variable bm, write bm_

The expression:

24 a^{2} b m^{2} - 36 b^{2} m^{4}

contains several variables so we pick a for factorization

Let's factor in

ℝ

24 a^{2} b m^{2} - 36 b^{2} m^{4}

You can factorize this expression into:

b m^{2} \cdot (24 a^{2} - 36 b m^{2})

⇥Let's factor in

ℝ

(24 a^{2} - 36 b m^{2})

⇥We factor out

12

, the greatest common divisor of the coefficients:

24 a^{2} - 36 b m^{2}

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

⇥Factor found:

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

▷The factor

(24 a^{2} - 36 b m^{2})

factors as:

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

ⓘ Factor out the common factor

b m^{2}

▶Factored expression:

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