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Popular >

factor 4x^2+40x+100

Solution

factor

4 x^{2} + 40 x + 100

Solution

4 (x + 5)^{2}

Solution steps

4 x^{2} + 40 x + 100

Factor out common term

4 : 4 (x^{2} + 10 x + 25)

= 4 (x^{2} + 10 x + 25)

Factor

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

= 4 (x + 5) (x + 5)

Apply exponent rule:

aa = a^{2}

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

= 4 (x + 5)^{2}

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Frequently Asked Questions (FAQ)

What is factor 4x^2+40x+100 ?
The solution to factor 4x^2+40x+100 is 4(x+5)^2