Evaluate
\frac{\left(x+6\right)\left(2x+15y\right)}{15}
Expand
xy+\frac{2x^{2}}{15}+\frac{4x}{5}+6y
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\left(\frac{2}{5}x+3y\right)\left(\frac{1}{3}x+2\right)
Divide 4 by 2 to get 2.
\frac{2}{5}x\times \frac{1}{3}x+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Apply the distributive property by multiplying each term of \frac{2}{5}x+3y by each term of \frac{1}{3}x+2.
\frac{2}{5}x^{2}\times \frac{1}{3}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Multiply x and x to get x^{2}.
\frac{2\times 1}{5\times 3}x^{2}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Multiply \frac{2}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{15}x^{2}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Do the multiplications in the fraction \frac{2\times 1}{5\times 3}.
\frac{2}{15}x^{2}+\frac{2\times 2}{5}x+3y\times \frac{1}{3}x+6y
Express \frac{2}{5}\times 2 as a single fraction.
\frac{2}{15}x^{2}+\frac{4}{5}x+3y\times \frac{1}{3}x+6y
Multiply 2 and 2 to get 4.
\frac{2}{15}x^{2}+\frac{4}{5}x+yx+6y
Cancel out 3 and 3.
\left(\frac{2}{5}x+3y\right)\left(\frac{1}{3}x+2\right)
Divide 4 by 2 to get 2.
\frac{2}{5}x\times \frac{1}{3}x+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Apply the distributive property by multiplying each term of \frac{2}{5}x+3y by each term of \frac{1}{3}x+2.
\frac{2}{5}x^{2}\times \frac{1}{3}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Multiply x and x to get x^{2}.
\frac{2\times 1}{5\times 3}x^{2}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Multiply \frac{2}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{2}{15}x^{2}+\frac{2}{5}x\times 2+3y\times \frac{1}{3}x+6y
Do the multiplications in the fraction \frac{2\times 1}{5\times 3}.
\frac{2}{15}x^{2}+\frac{2\times 2}{5}x+3y\times \frac{1}{3}x+6y
Express \frac{2}{5}\times 2 as a single fraction.
\frac{2}{15}x^{2}+\frac{4}{5}x+3y\times \frac{1}{3}x+6y
Multiply 2 and 2 to get 4.
\frac{2}{15}x^{2}+\frac{4}{5}x+yx+6y
Cancel out 3 and 3.
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