What is factor 6x^2+17xy+5y^2 ?

The solution to factor 6x^2+17xy+5y^2 is (3x+y)(2x+5y)

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factor 6x^2+17xy+5y^2

factor

6 x^{2} + 17 x y + 5 y^{2}

(3 x + y) (2 x + 5 y)

Solution steps

6 x^{2} + 17 x y + 5 y^{2}

Break the expression into groups

= (6 x^{2} + 2 x y) + (15 x y + 5 y^{2})

Factor out

2 x

from

6 x^{2} + 2 x y : 2 x (3 x + y)

Factor out

5 y

from

15 x y + 5 y^{2} : 5 y (3 x + y)

= 2 x (3 x + y) + 5 y (3 x + y)

Factor out common term

3 x + y

= (3 x + y) (2 x + 5 y)

(x) - 3 x + x^{2} - x^{4}

\frac{( x ^{2} )}{( y ^{3} ) \cdot ( \frac{x}{y} ) ^{- 2} \cdot y ^{- 1}}

\frac{1}{( \frac{a}{2} ) ^{2}} - \frac{1}{a ^{2}}

(3 t + 7) - 2 (6.3 t + 4)

x^{4} - 5 x^{2} - 14

What is factor 6x^2+17xy+5y^2 ?
The solution to factor 6x^2+17xy+5y^2 is (3x+y)(2x+5y)