What is factor 9t^2+48t+64 ?

The solution to factor 9t^2+48t+64 is (3t+8)^2

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factor 9t^2+48t+64

factor

9 t^{2} + 48 t + 64

(3 t + 8)^{2}

Solution steps

9 t^{2} + 48 t + 64

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

9 t^{2} = (3 t)^{2}

64 = 8^{2}

48 t = 2 \cdot 3 t \cdot 8

= (3 t)^{2} + 2 \cdot 3 t \cdot 8 + 8^{2}

Apply Perfect Square Formula:

a^{2} + 2 ab + b^{2} = (a + b)^{2}

(3 t)^{2} + 2 \cdot 3 t \cdot 8 + 8^{2} = (3 t + 8)^{2}

= (3 t + 8)^{2}

- 60

3^{2} + 2^{2}

169 x^{6} y^{12} - 13 x^{3} y^{6}

4 x = 3 x

(x + 1)^{2} = 12