What is factor 10px-15py+6xy-9y^2 ?

The solution to factor 10px-15py+6xy-9y^2 is (3y+5p)(2x-3y)

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factor 10px-15py+6xy-9y^2

factor

10 p x - 15 p y + 6 x y - 9 y^{2}

(3 y + 5 p) (2 x - 3 y)

Solution steps

10 p x - 15 p y + 6 x y - 9 y^{2}

Rewrite as

= 5 \cdot 2 x p - 15 p y + 3 \cdot 2 x y - 9 y^{2}

Factor out common term

2 x

= 2 x (5 p + 3 y) - 15 p y - 9 y^{2}

Apply exponent rule:

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

y^{2} = yy

= 2 x (3 y + 5 p) - 15 p y - 9 yy

Rewrite as

= 2 x (3 y + 5 p) - 5 \cdot 3 y p - 3 \cdot 3 yy

Factor out common term

3 y

= 2 x (3 y + 5 p) - 3 y (5 p + 3 y)

Factor out common term

(3 y + 5 p)

= (3 y + 5 p) (2 x - 3 y)

1 7^{2} - 1 6^{2}

6 \times 2

4 a^{2} \cdot a^{3} x^{2}

1 sin^{2} (x) cos^{2} (x)

1 0^{5} - 26 y^{4} + 1 2^{3}

What is factor 10px-15py+6xy-9y^2 ?
The solution to factor 10px-15py+6xy-9y^2 is (3y+5p)(2x-3y)