What is factor y^2+13y+42 ?

The solution to factor y^2+13y+42 is (y+6)(y+7)

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factor y^2+13y+42

factor

y^{2} + 13 y + 42

(y + 6) (y + 7)

Solution steps

y^{2} + 13 y + 42

Break the expression into groups

= (y^{2} + 6 y) + (7 y + 42)

Factor out

y

from

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

Factor out

7

from

7 y + 42 : 7 (y + 6)

= y (y + 6) + 7 (y + 6)

Factor out common term

y + 6

= (y + 6) (y + 7)

3 x^{2} + 6 x + 9

5 x^{2} - 15 x + 10

\frac{5 x ^{2}}{y} \cdot \frac{3 y}{7 x}

\frac{5}{12} + \frac{1}{2}

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