Evaluate
x^{2}+2x+\frac{8}{9}
Expand
x^{2}+2x+\frac{8}{9}
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x^{2}+x\times \frac{2}{3}+\frac{4}{3}x+\frac{4}{3}\times \frac{2}{3}
Apply the distributive property by multiplying each term of x+\frac{4}{3} by each term of x+\frac{2}{3}.
x^{2}+2x+\frac{4}{3}\times \frac{2}{3}
Combine x\times \frac{2}{3} and \frac{4}{3}x to get 2x.
x^{2}+2x+\frac{4\times 2}{3\times 3}
Multiply \frac{4}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x^{2}+2x+\frac{8}{9}
Do the multiplications in the fraction \frac{4\times 2}{3\times 3}.
x^{2}+x\times \frac{2}{3}+\frac{4}{3}x+\frac{4}{3}\times \frac{2}{3}
Apply the distributive property by multiplying each term of x+\frac{4}{3} by each term of x+\frac{2}{3}.
x^{2}+2x+\frac{4}{3}\times \frac{2}{3}
Combine x\times \frac{2}{3} and \frac{4}{3}x to get 2x.
x^{2}+2x+\frac{4\times 2}{3\times 3}
Multiply \frac{4}{3} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
x^{2}+2x+\frac{8}{9}
Do the multiplications in the fraction \frac{4\times 2}{3\times 3}.
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