What is factor 5ru+10vr+2ut+4vt ?

The solution to factor 5ru+10vr+2ut+4vt is (u+2v)(5r+2t)

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factor 5ru+10vr+2ut+4vt

factor

5 r u + 10 v r + 2 u t + 4 v t

(u + 2 v) (5 r + 2 t)

Solution steps

5 r u + 10 v r + 2 u t + 4 v t

Rewrite as

= 5 r u + 2 \cdot 5 r v + 2 u t + 4 v t

Factor out common term

5 r

= 5 r (u + 2 v) + 2 u t + 4 v t

Rewrite as

= 5 r (u + 2 v) + 2 t u + 2 \cdot 2 t v

Factor out common term

2 t

= 5 r (u + 2 v) + 2 t (u + 2 v)

Factor out common term

(u + 2 v)

= (u + 2 v) (5 r + 2 t)

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What is factor 5ru+10vr+2ut+4vt ?
The solution to factor 5ru+10vr+2ut+4vt is (u+2v)(5r+2t)