What is factor (5y)^2+13(5y)+42 ?

The solution to factor (5y)^2+13(5y)+42 is (5y+6)(5y+7)

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factor (5y)^2+13(5y)+42

factor

(5 y)^{2} + 13 (5 y) + 42

(5 y + 6) (5 y + 7)

Solution steps

(5 y)^{2} + 13 (5 y) + 42

Write in the standard form

a x^{2} + b x + c

= (5 y)^{2} + 135 y + 42

Break the expression into groups

= ((5 y)^{2} + 65 y) + (75 y + 42)

Factor out

5 y

from

(5 y)^{2} + 65 y : 5 y (5 y + 6)

Factor out

7

from

75 y + 42 : 7 (5 y + 6)

= 5 y (5 y + 6) + 7 (5 y + 6)

Factor out common term

5 y + 6

= (5 y + 6) (5 y + 7)

7 x^{- 5} + 4 x^{- 3} + 2 x^{3}

4 (ab)

15 a x + 6 b y - 10 a y - 9 b x

s^{6} t^{6} - u^{3} v^{12}

[(5 a + b) - 4]^{2}

What is factor (5y)^2+13(5y)+42 ?
The solution to factor (5y)^2+13(5y)+42 is (5y+6)(5y+7)