What is factor x^2+7x+3x+21 ?

The solution to factor x^2+7x+3x+21 is (x+3)(x+7)

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factor x^2+7x+3x+21

factor

x^{2} + 7 x + 3 x + 21

(x + 3) (x + 7)

Solution steps

x^{2} + 7 x + 3 x + 21

Add similar elements:

7 x + 3 x = 10 x

= x^{2} + 10 x + 21

Break the expression into groups

= (x^{2} + 3 x) + (7 x + 21)

Factor out

x

from

x^{2} + 3 x : x (x + 3)

Factor out

7

from

7 x + 21 : 7 (x + 3)

= x (x + 3) + 7 (x + 3)

Factor out common term

x + 3

= (x + 3) (x + 7)

(3 - 2 i) \cdot (- 2 + 7 i)

4 x^{2} - 12 x - 7

6 x^{2} - 29 x + 9

0 = x^{2} - 1

(\frac{2 x y ^{4}}{z})^{3}