What is factor 3r^8+3r^5-60r^2 ?

The solution to factor 3r^8+3r^5-60r^2 is 3r^2(r^6+r^3-20)

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factor 3r^8+3r^5-60r^2

factor

3 r^{8} + 3 r^{5} - 60 r^{2}

3 r^{2} (r^{6} + r^{3} - 20)

Solution steps

3 r^{8} + 3 r^{5} - 60 r^{2}

Apply exponent rule:

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

r^{5} = r^{3} r^{2}

= 3 r^{6} r^{2} + 3 r^{3} r^{2} - 60 r^{2}

Rewrite

60

3 \cdot 20

= 3 r^{6} r^{2} + 3 r^{3} r^{2} - 3 \cdot 20 r^{2}

Factor out common term

3 r^{2}

= 3 r^{2} (r^{6} + r^{3} - 20)

(\frac{3}{5})^{2} + (\frac{4}{5})^{2}

\frac{a x - a y + b x - b y}{x ^{2} - y ^{2}} \cdot \frac{x ^{2} y + x y ^{2}}{a b ^{2} + a ^{2} b}

(3 - 4 i)^{3}

7 i \cdot 3 i (- 8 - 6 i)

- x^{2} - x + 6 = 0

What is factor 3r^8+3r^5-60r^2 ?
The solution to factor 3r^8+3r^5-60r^2 is 3r^2(r^6+r^3-20)