What is factor 40bc+9cx-24bx-15c^2 ?

The solution to factor 40bc+9cx-24bx-15c^2 is (-3x+5c)(8b-3c)

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factor 40bc+9cx-24bx-15c^2

factor

40 b c + 9 c x - 24 b x - 15 c^{2}

(- 3 x + 5 c) (8 b - 3 c)

Solution steps

40 b c + 9 c x - 24 b x - 15 c^{2}

Rewrite as

= 5 \cdot 8 b c + 9 c x - 3 \cdot 8 b x - 15 c^{2}

Factor out common term

8 b

= 8 b (5 c - 3 x) + 9 c x - 15 c^{2}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

c^{2} = cc

= 8 b (- 3 x + 5 c) + 9 c x - 15 cc

Rewrite as

= 8 b (- 3 x + 5 c) + 3 \cdot 3 c x - 5 \cdot 3 cc

Factor out common term

3 c

= 8 b (- 3 x + 5 c) + 3 c (3 x - 5 c)

Rewrite as

= 8 (- 3 x + 5 c) b - 3 (- 3 x + 5 c) c

Factor out common term

(- 3 x + 5 c)

= (- 3 x + 5 c) (8 b - 3 c)

3 p - m p + 3 n - mn

b x^{2} + c x^{2} - b y^{2} - c y^{2}

w^{2} + w z + w y + zy

sin^{3} (θ) + cos^{3} (θ)

2 (ab)

What is factor 40bc+9cx-24bx-15c^2 ?
The solution to factor 40bc+9cx-24bx-15c^2 is (-3x+5c)(8b-3c)