What is factor a^2+a-42 ?

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

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factor a^2+a-42

factor

a^{2} + a - 42

(a - 6) (a + 7)

Solution steps

a^{2} + a - 42

Break the expression into groups

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

Factor out

a

from

a^{2} - 6 a : a (a - 6)

Factor out

7

from

7 a - 42 : 7 (a - 6)

= a (a - 6) + 7 (a - 6)

Factor out common term

a - 6

= (a - 6) (a + 7)

3 x^{2} + 2 x - 1 > 0

- 3 + a < - 7

76 = 10 m - 4

13 - y = \frac{( y - 3 ) ^{2}}{5}

2 x + 15 + x = 180