What is factor 9t^2-42t+49 ?

The solution to factor 9t^2-42t+49 is (3t-7)^2

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factor 9t^2-42t+49

factor

9 t^{2} - 42 t + 49

(3 t - 7)^{2}

Solution steps

9 t^{2} - 42 t + 49

Rewrite in the form of

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

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

49 = 7^{2}

- 42 t = - 2 \cdot 3 t \cdot 7

= (3 t)^{2} - 2 \cdot 3 t \cdot 7 + 7^{2}

Apply Perfect Square Formula:

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

(3 t)^{2} - 2 \cdot 3 t \cdot 7 + 7^{2} = (3 t - 7)^{2}

= (3 t - 7)^{2}

64 y^{4} + y

\frac{x ^{2}}{x ^{6}}

4 p^{2} - \frac{9}{2} = - 7 p

\frac{3}{\frac{2}{x} + y}

x^{2} - 23 x + 6