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

The solution to expand (4x+5)(x^2-2x+5) is 4x^3-3x^2+10x+25

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

expand

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

4 x^{3} - 3 x^{2} + 10 x + 25

Solution steps

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

Distribute parentheses

= 4 x x^{2} + 4 x (- 2 x) + 4 x \cdot 5 + 5 x^{2} + 5 (- 2 x) + 5 \cdot 5

Simplify

4 x x^{2} + 4 x (- 2 x) + 4 x \cdot 5 + 5 x^{2} + 5 (- 2 x) + 5 \cdot 5 : 4 x^{3} - 3 x^{2} + 10 x + 25

= 4 x^{3} - 3 x^{2} + 10 x + 25

\frac{24 x ^{8} y ^{3}}{16 x ^{8} y ^{8}}

lo g_{10} (5) (125)

(x y - z)^{2}

12 x^{2} + 13 x - 14

What is expand (4x+5)(x^2-2x+5) ?
The solution to expand (4x+5)(x^2-2x+5) is 4x^3-3x^2+10x+25