What is factor 18a^2+17ay-15y^2 ?

The solution to factor 18a^2+17ay-15y^2 is (3y+2a)(-5y+9a)

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factor 18a^2+17ay-15y^2

factor

18 a^{2} + 17 a y - 15 y^{2}

(3 y + 2 a) (- 5 y + 9 a)

Solution steps

18 a^{2} + 17 a y - 15 y^{2}

Group by common factors

= - 15 y^{2} + 17 y a + 18 a^{2}

Break the expression into groups

= (- 15 y^{2} - 10 y a) + (27 y a + 18 a^{2})

Factor out

- 5 y

from

- 15 y^{2} - 10 y a : - 5 y (3 y + 2 a)

Factor out

9 a

from

27 y a + 18 a^{2} : 9 a (3 y + 2 a)

= - 5 y (3 y + 2 a) + 9 a (3 y + 2 a)

Factor out common term

3 y + 2 a

= (3 y + 2 a) (- 5 y + 9 a)

35 - 5

y^{2} - 2 y - 8

- \frac{8}{5} + \frac{9}{5}

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

(d - 2)^{2}

What is factor 18a^2+17ay-15y^2 ?
The solution to factor 18a^2+17ay-15y^2 is (3y+2a)(-5y+9a)