What is expand (7x^2+2x+4)(2x+5) ?

The solution to expand (7x^2+2x+4)(2x+5) is 14x^3+39x^2+18x+20

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expand (7x^2+2x+4)(2x+5)

expand

(7 x^{2} + 2 x + 4) (2 x + 5)

14 x^{3} + 39 x^{2} + 18 x + 20

Solution steps

(7 x^{2} + 2 x + 4) (2 x + 5)

Distribute parentheses

= 7 x^{2} \cdot 2 x + 7 x^{2} \cdot 5 + 2 x \cdot 2 x + 2 x \cdot 5 + 4 \cdot 2 x + 4 \cdot 5

Simplify

7 x^{2} \cdot 2 x + 7 x^{2} \cdot 5 + 2 x \cdot 2 x + 2 x \cdot 5 + 4 \cdot 2 x + 4 \cdot 5 : 14 x^{3} + 39 x^{2} + 18 x + 20

= 14 x^{3} + 39 x^{2} + 18 x + 20

5 x + 6 x

x^{1} - x^{2}

\frac{4}{34}

(2 + b + c)^{2}

\frac{16 56}{2 2}

What is expand (7x^2+2x+4)(2x+5) ?
The solution to expand (7x^2+2x+4)(2x+5) is 14x^3+39x^2+18x+20