What is factor 100-140x+49x^2 ?

The solution to factor 100-140x+49x^2 is (7x-10)^2

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factor 100-140x+49x^2

factor

100 - 140 x + 49 x^{2}

(7 x - 10)^{2}

Solution steps

100 - 140 x + 49 x^{2}

Write in the standard form

= 49 x^{2} - 140 x + 100

Rewrite in the form of

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

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

100 = 1 0^{2}

- 140 x = - 2 \cdot 7 x \cdot 10

= (7 x)^{2} - 2 \cdot 7 x \cdot 10 + 1 0^{2}

Apply Perfect Square Formula:

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

(7 x)^{2} - 2 \cdot 7 x \cdot 10 + 1 0^{2} = (7 x - 10)^{2}

= (7 x - 10)^{2}

(r^{\frac{2}{5}} s)^{5}

(x + 2) (x - 1) + 2 = x (2 - x)

10 x^{3} + 5 x^{2} - 5 x

3 (2 + v) - v = 6 + 2 (v + 1)

What is factor 100-140x+49x^2 ?
The solution to factor 100-140x+49x^2 is (7x-10)^2