What is factor xp+2xq-2yp-4yq+4zp+8zq ?

The solution to factor xp+2xq-2yp-4yq+4zp+8zq is (p+2q)(x-2y+4z)

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factor xp+2xq-2yp-4yq+4zp+8zq

factor

x p + 2 x q - 2 y p - 4 y q + 4 z p + 8 z q

(p + 2 q) (x - 2 y + 4 z)

Solution steps

x p + 2 x q - 2 y p - 4 y q + 4 z p + 8 z q

Factor out common term

x

= x (p + 2 q) - 2 y p - 4 y q + 4 z p + 8 z q

Rewrite as

= x (p + 2 q) - 2 y p - 2 \cdot 2 y q + 4 z p + 8 z q

Factor out common term

2 y

= x (p + 2 q) - 2 y (p + 2 q) + 4 z p + 8 z q

Factor out common term

(p + 2 q)

= (p + 2 q) (x - 2 y) + 4 z p + 8 z q

Rewrite as

= (p + 2 q) (x - 2 y) + 4 z p + 2 \cdot 4 z q

Factor out common term

4 z

= (p + 2 q) (x - 2 y) + 4 z (p + 2 q)

Factor out common term

(p + 2 q)

= (p + 2 q) (x - 2 y + 4 z)

sin (x + x^{2})

3 r v - 2 v t - 6 rs + 4 s t

x^{3} (x^{3} - 7) - 8

sin (x) (2 π)

(a + b)^{3} - c^{3}

What is factor xp+2xq-2yp-4yq+4zp+8zq ?
The solution to factor xp+2xq-2yp-4yq+4zp+8zq is (p+2q)(x-2y+4z)