What is factor 25y^2+70yz+49z^2 ?

The solution to factor 25y^2+70yz+49z^2 is (5y+7z)^2

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factor 25y^2+70yz+49z^2

factor

25 y^{2} + 70 yz + 49 z^{2}

(5 y + 7 z)^{2}

Solution steps

25 y^{2} + 70 yz + 49 z^{2}

Rewrite in the form of

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

25 y^{2} = (5 y)^{2}

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

70 yz = 2 \cdot 5 y \cdot 7 z

= (5 y)^{2} + 2 \cdot 5 y \cdot 7 z + (7 z)^{2}

Apply Perfect Square Formula:

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

(5 y)^{2} + 2 \cdot 5 y \cdot 7 z + (7 z)^{2} = (5 y + 7 z)^{2}

= (5 y + 7 z)^{2}

\frac{1}{x + h + x}

2 - 2 i

- 24 + 9

- 25 - 5

(0.7)^{4}

What is factor 25y^2+70yz+49z^2 ?
The solution to factor 25y^2+70yz+49z^2 is (5y+7z)^2