What is factor 10ax+by-2ay-5bx ?

The solution to factor 10ax+by-2ay-5bx is (-y+5x)(2a-b)

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factor 10ax+by-2ay-5bx

factor

10 a x + b y - 2 a y - 5 b x

(- y + 5 x) (2 a - b)

Solution steps

10 a x + b y - 2 a y - 5 b x

Rewrite as

= 5 \cdot 2 a x + b y - 2 a y - 5 b x

Factor out common term

2 a

= 2 a (5 x - y) + b y - 5 b x

Factor out common term

b

= 2 a (- y + 5 x) + b (y - 5 x)

Rewrite as

= 2 (- y + 5 x) a - (- y + 5 x) b

Factor out common term

(- y + 5 x)

= (- y + 5 x) (2 a - b)

\frac{( 4 + x ) ^{2} - 16}{x}

e^{3} - 343

3 a z - 3 b z - 3 z - 2 a t + 2 b t + 2 t

2 a^{2} + 2 a c - 5 ab - 5 b c

x - x^{b - 1}

What is factor 10ax+by-2ay-5bx ?
The solution to factor 10ax+by-2ay-5bx is (-y+5x)(2a-b)