What is factor 5a^2z-4a^2c+15xz-12xc ?

The solution to factor 5a^2z-4a^2c+15xz-12xc is (a^2+3x)(5z-4c)

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factor 5a^2z-4a^2c+15xz-12xc

factor

5 a^{2} z - 4 a^{2} c + 15 x z - 12 x c

(a^{2} + 3 x) (5 z - 4 c)

Solution steps

5 a^{2} z - 4 a^{2} c + 15 x z - 12 x c

Rewrite as

= 5 z a^{2} - 4 a^{2} c + 3 \cdot 5 z x - 12 x c

Factor out common term

5 z

= 5 z (a^{2} + 3 x) - 4 a^{2} c - 12 x c

Rewrite as

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

Factor out common term

4 c

= 5 z (a^{2} + 3 x) - 4 c (a^{2} + 3 x)

Factor out common term

(a^{2} + 3 x)

= (a^{2} + 3 x) (5 z - 4 c)

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What is factor 5a^2z-4a^2c+15xz-12xc ?
The solution to factor 5a^2z-4a^2c+15xz-12xc is (a^2+3x)(5z-4c)