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

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

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

factor

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

(a^{x} + 6) (a^{x} + 7)

Solution steps

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

Break the expression into groups

= ((a^{x})^{2} + 6 a^{x}) + (7 a^{x} + 42)

Factor out

a^{x}

from

(a^{x})^{2} + 6 a^{x} : a^{x} (a^{x} + 6)

Factor out

7

from

7 a^{x} + 42 : 7 (a^{x} + 6)

= a^{x} (a^{x} + 6) + 7 (a^{x} + 6)

Factor out common term

a^{x} + 6

= (a^{x} + 6) (a^{x} + 7)

12 p u^{2} - 15 p v + 28 q u^{2} - 35 q v

(x + 1)^{3} - 4 (x + 1) + 4

16 + 2^{x} - 2^{x + 1}

I n (2 x)

\frac{e ^{2} - 1}{6} - 1

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