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Popular >

factor 12x^2+60x+75

Solution

factor

12 x^{2} + 60 x + 75

Solution

3 (2 x + 5)^{2}

Solution steps

12 x^{2} + 60 x + 75

Factor out common term

3 : 3 (4 x^{2} + 20 x + 25)

= 3 (4 x^{2} + 20 x + 25)

Factor

4 x^{2} + 20 x + 25 : (2 x + 5) (2 x + 5)

= 3 (2 x + 5) (2 x + 5)

Apply exponent rule:

aa = a^{2}

(2 x + 5) (2 x + 5) = (2 x + 5)^{2}

= 3 (2 x + 5)^{2}

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Frequently Asked Questions (FAQ)

What is factor 12x^2+60x+75 ?
The solution to factor 12x^2+60x+75 is 3(2x+5)^2