What is (1-x-x^2)((2x)/3+5) ?

The solution to (1-x-x^2)((2x)/3+5) is ((1-x-x^2)(15+2x))/3

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simplify (1-x-x^2)((2x)/3+5)

simplify

(1 - x - x^{2}) (\frac{2 x}{3} + 5)

\frac{( 1 - x - x ^{2} ) ( 15 + 2 x )}{3}

Solution steps

(1 - x - x^{2}) (\frac{2 x}{3} + 5)

Join

\frac{2 x}{3} + 5 : \frac{15 + 2 x}{3}

= (1 - x - x^{2}) \frac{15 + 2 x}{3}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 1 - x - x ^{2} ) ( 15 + 2 x )}{3}

\frac{4 x ^{2} - 9 x + 2}{( x + 3 ) ( x ^{2} + 4 )}

8 w (a x -, + cz) - 8 (a x -, + cz)

\frac{( ( a + b ) ^{2} - c ^{2} )}{( ( a - b ) ^{2} - c ^{2} )}

\frac{1}{( u - 3 + 2 ) ( u + 3 + 2 )}

\frac{3 Z ^{2} - 18 Z + 26}{( Z - 2 ) ( Z - 3 ) ( Z - 4 )}

What is (1-x-x^2)((2x)/3+5) ?
The solution to (1-x-x^2)((2x)/3+5) is ((1-x-x^2)(15+2x))/3