What is factor 4a^2x-5a^2y+15by-12bx ?

The solution to factor 4a^2x-5a^2y+15by-12bx is (a^2-3b)(4x-5y)

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factor 4a^2x-5a^2y+15by-12bx

factor

4 a^{2} x - 5 a^{2} y + 15 b y - 12 b x

(a^{2} - 3 b) (4 x - 5 y)

Solution steps

4 a^{2} x - 5 a^{2} y + 15 b y - 12 b x

Rewrite as

= 4 x a^{2} - 5 a^{2} y + 15 b y - 3 \cdot 4 x b

Factor out common term

4 x

= 4 x (a^{2} - 3 b) - 5 a^{2} y + 15 b y

Rewrite as

= 4 x (a^{2} - 3 b) - 5 y a^{2} + 3 \cdot 5 y b

Factor out common term

5 y

= 4 x (a^{2} - 3 b) + 5 y (- a^{2} + 3 b)

Rewrite as

= 4 (a^{2} - 3 b) x - 5 (a^{2} - 3 b) y

Factor out common term

(a^{2} - 3 b)

= (a^{2} - 3 b) (4 x - 5 y)

1 - \frac{3}{2} (x - \frac{1}{3}) = 6 x

(4 - i)^{2}

\frac{3 + i}{2 + i}

\frac{9}{4} - 1

2 x^{2} = 8

What is factor 4a^2x-5a^2y+15by-12bx ?
The solution to factor 4a^2x-5a^2y+15by-12bx is (a^2-3b)(4x-5y)