What is factor 77r^7s^7-84r^8s^4 ?

The solution to factor 77r^7s^7-84r^8s^4 is 7r^7s^4(11s^3-12r)

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factor 77r^7s^7-84r^8s^4

factor

77 r^{7} s^{7} - 84 r^{8} s^{4}

7 r^{7} s^{4} (11 s^{3} - 12 r)

Solution steps

77 r^{7} s^{7} - 84 r^{8} s^{4}

Apply exponent rule:

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

r^{7} s^{7} = r^{7} s^{4} s^{3}, r^{8} s^{4} = r^{7} r s^{4}

= 77 r^{7} s^{4} s^{3} - 84 r^{7} r s^{4}

Rewrite

- 84

12 \cdot 7

Rewrite

77

11 \cdot 7

= 11 \cdot 7 r^{7} s^{4} s^{3} + 12 \cdot 7 r^{7} r s^{4}

Factor out common term

7 r^{7} s^{4}

= 7 r^{7} s^{4} (11 s^{3} - 12 r)

\frac{4}{12} + \frac{x}{9} = 1

3 y^{2} + 19 y + 30

6 x^{2} + 60 x = - 366

\frac{45 x ^{4} y}{9 x ^{6} y ^{3}}

7 x^{2} + 14 x - 5 = 0

What is factor 77r^7s^7-84r^8s^4 ?
The solution to factor 77r^7s^7-84r^8s^4 is 7r^7s^4(11s^3-12r)