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1/9x^2+2/15xy+1/25y^2 Will award brainliest

Sagot :

Step-by-step explanation:

[tex] = \frac{1}{9} {x}^{2} + \frac{2}{15} xy + \frac{1}{25} {y}^{2} \\ = \boldsymbol{ \frac{1}{3} {x}^{2} + \frac{1}{5} {y}^{2} }[/tex]

LittleAngel36

Answer:

[tex] \frac{(x + \frac{3y}{5})^{2} }{9} [/tex]

Step By Step Explanations:

1) Simplify 1/9x² to x²/9.

[tex] \frac{ {x}^{2} }{9} + \frac{2}{15} xy + \frac{1}{25} {y}^{2} [/tex]

2) Simplify 2/15xy to y²/25.

[tex] \frac{ {x}^{2} }{9} + \frac{2xy}{15} + \frac{1}{25} {y}^{2} [/tex]

3) Simplify 1/25y² to y²/25.

[tex] \frac{ {x}^{2} }{9} + \frac{2xy}{15} + \frac{ {y}^{2} }{25} [/tex]

4) Factor with quadratic formula.

[tex] \frac{1}{9} (x + \frac{3y}{5})(x + \frac{3y}{5} )[/tex]

5) use product rule.

[tex] \frac{(x + \frac{3y}{5} )^{2} }{9} [/tex]

Therefor, the answer is (x + 3y/5)²/9.

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