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Popular >

factor 36t^2+36t+9

Solution

factor

36 t^{2} + 36 t + 9

Solution

9 (2 t + 1)^{2}

Solution steps

36 t^{2} + 36 t + 9

Factor out common term

9 : 9 (4 t^{2} + 4 t + 1)

= 9 (4 t^{2} + 4 t + 1)

Factor

4 t^{2} + 4 t + 1 : (2 t + 1) (2 t + 1)

= 9 (2 t + 1) (2 t + 1)

Apply exponent rule:

aa = a^{2}

(2 t + 1) (2 t + 1) = (2 t + 1)^{2}

= 9 (2 t + 1)^{2}

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Frequently Asked Questions (FAQ)

What is factor 36t^2+36t+9 ?
The solution to factor 36t^2+36t+9 is 9(2t+1)^2