Question

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

Answer 1

Answer:

$\frac{(x + \frac{3y}{5})^{2} }{9}$

Step By Step Explanations:

1) Simplify 1/9x² to x²/9.

$\frac{ {x}^{2} }{9} + \frac{2}{15} xy + \frac{1}{25} {y}^{2}$

2) Simplify 2/15xy to y²/25.

$\frac{ {x}^{2} }{9} + \frac{2xy}{15} + \frac{1}{25} {y}^{2}$

3) Simplify 1/25y² to y²/25.

$\frac{ {x}^{2} }{9} + \frac{2xy}{15} + \frac{ {y}^{2} }{25}$

4) Factor with quadratic formula.

$\frac{1}{9} (x + \frac{3y}{5})(x + \frac{3y}{5} )$

5) use product rule.

$\frac{(x + \frac{3y}{5} )^{2} }{9}$

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

Answer 2

Step-by-step explanation:

$= \frac{1}{9} {x}^{2} + \frac{2}{15} xy + \frac{1}{25} {y}^{2} \\ = \boldsymbol{ \frac{1}{3} {x}^{2} + \frac{1}{5} {y}^{2} }$