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

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

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factor 25+70x+49x^2

factor

25 + 70 x + 49 x^{2}

(7 x + 5)^{2}

Solution steps

25 + 70 x + 49 x^{2}

Write in the standard form

= 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}

∣ x - 2 ∣ = 12

5 b^{2} + 45 b

z + 29 > - 85

(\frac{2}{2})^{2}

u^{2} - 3 u - 28 = 0