What is factor (5x)^2+4(5x)-12 ?

The solution to factor (5x)^2+4(5x)-12 is (5x-2)(5x+6)

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factor (5x)^2+4(5x)-12

factor

(5 x)^{2} + 4 (5 x) - 12

(5 x - 2) (5 x + 6)

Solution steps

(5 x)^{2} + 4 (5 x) - 12

Write in the standard form

a x^{2} + b x + c

= (5 x)^{2} + 45 x - 12

Break the expression into groups

= ((5 x)^{2} - 25 x) + (65 x - 12)

Factor out

5 x

from

(5 x)^{2} - 25 x : 5 x (5 x - 2)

Factor out

6

from

65 x - 12 : 6 (5 x - 2)

= 5 x (5 x - 2) + 6 (5 x - 2)

Factor out common term

5 x - 2

= (5 x - 2) (5 x + 6)

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

[e^{t} cos (x)]

e^{x^{2} - y^{2}} - 1

ab - c d + a d - b c

24 b c + 30 b d - 4 x^{2} c - 5 x^{2} d

What is factor (5x)^2+4(5x)-12 ?
The solution to factor (5x)^2+4(5x)-12 is (5x-2)(5x+6)