What is expand (r^2+6r+5)(5r^2+r-5) ?

The solution to expand (r^2+6r+5)(5r^2+r-5) is 5r^4+31r^3+26r^2-25r-25

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expand (r^2+6r+5)(5r^2+r-5)

expand

(r^{2} + 6 r + 5) (5 r^{2} + r - 5)

5 r^{4} + 31 r^{3} + 26 r^{2} - 25 r - 25

Solution steps

(r^{2} + 6 r + 5) (5 r^{2} + r - 5)

Distribute parentheses

= r^{2} \cdot 5 r^{2} + r^{2} r + r^{2} (- 5) + 6 r \cdot 5 r^{2} + 6 rr + 6 r (- 5) + 5 \cdot 5 r^{2} + 5 r + 5 (- 5)

Simplify

r^{2} \cdot 5 r^{2} + r^{2} r + r^{2} (- 5) + 6 r \cdot 5 r^{2} + 6 rr + 6 r (- 5) + 5 \cdot 5 r^{2} + 5 r + 5 (- 5) : 5 r^{4} + 31 r^{3} + 26 r^{2} - 25 r - 25

= 5 r^{4} + 31 r^{3} + 26 r^{2} - 25 r - 25

5 (3 - 4 x)^{2} - 8 (3 - 4 x) (5 x - 1)

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

(- 2 + 5 i) - (3 - 2 i)

3 i (- 5 + 7 i)

\frac{x}{2 x}

What is expand (r^2+6r+5)(5r^2+r-5) ?
The solution to expand (r^2+6r+5)(5r^2+r-5) is 5r^4+31r^3+26r^2-25r-25