What is factor 3rs-5cr-15cs+25c^2 ?

The solution to factor 3rs-5cr-15cs+25c^2 is (r-5c)(3s-5c)

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factor 3rs-5cr-15cs+25c^2

factor

3 rs - 5 cr - 15 cs + 25 c^{2}

(r - 5 c) (3 s - 5 c)

Solution steps

3 rs - 5 cr - 15 cs + 25 c^{2}

Rewrite as

= 3 sr - 5 cr - 5 \cdot 3 sc + 25 c^{2}

Factor out common term

3 s

= 3 s (r - 5 c) - 5 cr + 25 c^{2}

Apply exponent rule:

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

c^{2} = cc

= 3 s (r - 5 c) - 5 cr + 25 cc

Rewrite as

= 3 s (r - 5 c) - 5 cr + 5 \cdot 5 cc

Factor out common term

5 c

= 3 s (r - 5 c) + 5 c (- r + 5 c)

Rewrite as

= 3 (r - 5 c) s - 5 (r - 5 c) c

Factor out common term

(r - 5 c)

= (r - 5 c) (3 s - 5 c)

3 - \frac{2 e ^{3}}{e ^{3} - 1}

5 yz - 7 z + 10 a y - 14 a

C e^{3 x} (3)

4 a c + 2 b c - 2 a d - b d

1 + 6 \times 3 + 9 \times 6

What is factor 3rs-5cr-15cs+25c^2 ?
The solution to factor 3rs-5cr-15cs+25c^2 is (r-5c)(3s-5c)