Question

Somebody please help!
How do I factor the expression 2x^2-20x^5?
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Answer 1

`2x^2(1-10x^3)`

Explanation:

Factor
`2x^2-20x^5`

Apply the exponent rule:
`a^(b+c)=a^ba^c`

`\implies 2x^2-20x^2x^3`

Rewrite 2 as 2 · 1 and 20 as 2 · 10:

`\implies 2 \cdot 1x^2-2 \cdot 10x^2x^3`

Factor out common term
`2x^2`:

`\implies 2x^2(1-10x^3)`