What is factor 49x^2-70x+25 ?

The solution to factor 49x^2-70x+25 is (7x-5)^2

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factor 49x^2-70x+25

factor

49 x^{2} - 70 x + 25

(7 x - 5)^{2}

Solution steps

49 x^{2} - 70 x + 25

Rewrite in the form of

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

49 x^{2} = (7 x)^{2}

25 = 5^{2}

- 70 x = - 2 \cdot 7 x \cdot 5

= (7 x)^{2} - 2 \cdot 7 x \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

(7 x)^{2} - 2 \cdot 7 x \cdot 5 + 5^{2} = (7 x - 5)^{2}

= (7 x - 5)^{2}

3 x^{2} + 18 x + 27

x \geq 2 and x \leq 8

\frac{( 2 + 5 i )}{( 3 - 2 i )}

\frac{x ^{2} + 4 x - 1}{( x ^{2} + 1 ) ( x + 2 )} > 0

3 x + 9 = 1 - x