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

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

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

factor

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

(5 x + 6) (5 x + 7)

Solution steps

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

Write in the standard form

a x^{2} + b x + c

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

Break the expression into groups

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

Factor out

5 x

from

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

Factor out

7

from

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

= 5 x (5 x + 6) + 7 (5 x + 6)

Factor out common term

5 x + 6

= (5 x + 6) (5 x + 7)

x ln (7) + 2 x ln (3)

\frac{1}{x - 4}

(2 x y) + (x^{2})

e^{18} + e^{22}

\frac{( x + 2 ) ^{2} - 5}{x + 2}

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