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

The solution to expand (x-3)^2(x^2+5) is x^4-6x^3+14x^2-30x+45

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expand (x-3)^2(x^2+5)

expand

(x - 3)^{2} (x^{2} + 5)

x^{4} - 6 x^{3} + 14 x^{2} - 30 x + 45

Solution steps

(x - 3)^{2} (x^{2} + 5)

Expand

(x - 3)^{2} : x^{2} - 6 x + 9

= (x^{2} - 6 x + 9) (x^{2} + 5)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 5 - 6 x x^{2} - 6 x \cdot 5 + 9 x^{2} + 9 \cdot 5

Simplify

x^{2} x^{2} + x^{2} \cdot 5 - 6 x x^{2} - 6 x \cdot 5 + 9 x^{2} + 9 \cdot 5 : x^{4} - 6 x^{3} + 14 x^{2} - 30 x + 45

= x^{4} - 6 x^{3} + 14 x^{2} - 30 x + 45

\frac{125 x ^{8} y ^{4}}{25 x ^{2} y ^{8}}

(5 x - 2) (x - 1)

\frac{1}{6} \times \frac{1}{2}

\frac{3 + 2 i}{4 i}

\frac{2}{5} (2)^{\frac{5}{2}}

What is expand (x-3)^2(x^2+5) ?
The solution to expand (x-3)^2(x^2+5) is x^4-6x^3+14x^2-30x+45