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Popular >

factor 3x^2+30x+75

Solution

factor

3 x^{2} + 30 x + 75

Solution

3 (x + 5)^{2}

Solution steps

3 x^{2} + 30 x + 75

Factor out common term

3 : 3 (x^{2} + 10 x + 25)

= 3 (x^{2} + 10 x + 25)

Factor

x^{2} + 10 x + 25 : (x + 5) (x + 5)

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

Apply exponent rule:

aa = a^{2}

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

= 3 (x + 5)^{2}

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Frequently Asked Questions (FAQ)

What is factor 3x^2+30x+75 ?
The solution to factor 3x^2+30x+75 is 3(x+5)^2