What is expand (3b^2-8b+5)(8b^2+3b+5) ?

The solution to expand (3b^2-8b+5)(8b^2+3b+5) is 24b^4-55b^3+31b^2-25b+25

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expand (3b^2-8b+5)(8b^2+3b+5)

expand

(3 b^{2} - 8 b + 5) (8 b^{2} + 3 b + 5)

24 b^{4} - 55 b^{3} + 31 b^{2} - 25 b + 25

Solution steps

(3 b^{2} - 8 b + 5) (8 b^{2} + 3 b + 5)

Distribute parentheses

= 3 b^{2} \cdot 8 b^{2} + 3 b^{2} \cdot 3 b + 3 b^{2} \cdot 5 - 8 b \cdot 8 b^{2} - 8 b \cdot 3 b - 8 b \cdot 5 + 5 \cdot 8 b^{2} + 5 \cdot 3 b + 5 \cdot 5

Simplify

3 b^{2} \cdot 8 b^{2} + 3 b^{2} \cdot 3 b + 3 b^{2} \cdot 5 - 8 b \cdot 8 b^{2} - 8 b \cdot 3 b - 8 b \cdot 5 + 5 \cdot 8 b^{2} + 5 \cdot 3 b + 5 \cdot 5 : 24 b^{4} - 55 b^{3} + 31 b^{2} - 25 b + 25

= 24 b^{4} - 55 b^{3} + 31 b^{2} - 25 b + 25

(a^{3} + b^{3}) 23

- x^{2} \cdot x^{3}

\frac{4 x y ^{3}}{2 x ^{2} y ^{2}}

\frac{3}{2 x + 4} - \frac{x}{x + 2}

(2 r^{2} + 6 r + 7) - (3 r^{2} + 5 r + 8)

What is expand (3b^2-8b+5)(8b^2+3b+5) ?
The solution to expand (3b^2-8b+5)(8b^2+3b+5) is 24b^4-55b^3+31b^2-25b+25