What is factor 35y^9+15y^7-45y^2 ?

The solution to factor 35y^9+15y^7-45y^2 is 5y^2(7y^7+3y^5-9)

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factor 35y^9+15y^7-45y^2

factor

35 y^{9} + 15 y^{7} - 45 y^{2}

5 y^{2} (7 y^{7} + 3 y^{5} - 9)

Solution steps

35 y^{9} + 15 y^{7} - 45 y^{2}

Apply exponent rule:

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

y^{7} = y^{5} y^{2}

= 35 y^{7} y^{2} + 15 y^{5} y^{2} - 45 y^{2}

Rewrite

35

5 \cdot 7

Rewrite

15

5 \cdot 3

= 5 \cdot 7 y^{7} y^{2} + 5 \cdot 3 y^{5} y^{2} - 5 \cdot 9 y^{2}

Factor out common term

5 y^{2}

= 5 y^{2} (7 y^{7} + 3 y^{5} - 9)

- 5 - 18 x + 6 x^{2} = 0

x^{2} + 3 x - 14 = 0

∣ x + 2 ∣ \leq 6

(- 8 + 2 i) (- 8 + 5 i)

\frac{10}{1 0 ^{\frac{1}{4}}}

What is factor 35y^9+15y^7-45y^2 ?
The solution to factor 35y^9+15y^7-45y^2 is 5y^2(7y^7+3y^5-9)