What is factor a^2+8a+7 ?

The solution to factor a^2+8a+7 is (a+1)(a+7)

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factor a^2+8a+7

factor

a^{2} + 8 a + 7

(a + 1) (a + 7)

Solution steps

a^{2} + 8 a + 7

Break the expression into groups

= (a^{2} + a) + (7 a + 7)

Factor out

a

from

a^{2} + a : a (a + 1)

Factor out

7

from

7 a + 7 : 7 (a + 1)

= a (a + 1) + 7 (a + 1)

Factor out common term

a + 1

= (a + 1) (a + 7)

2 n^{2} \cdot 30 n

- x^{2} + 10 x - 25 \geq 0

x^{2} - 4 = - x^{2}

∣ 2 x - 7 ∣ \leq 0

x^{2} - 2 x = 24