Question

Which of the following gives a product of x^3 - 3x ?

A. x (x^2 - 3)
B. x^2 (x - 3)
C. x^2 (x + 3)
D. x (x^2 + 3)​

Answer 1

`\longmapsto {x}^(3) - 3x \\`

By taking x common we get,

`\boxed{x( {x}^(2) - 3)} ✓\\`

• A. x(x² - 3) is the right answer.
• x(x² - 3) gives the product of (x³ - 3x).

Answer 2

Option a

Explanation:

Lets verify

RHS

`\\ \rm\longmapsto x(x^2-3)`

• Use distributive law
• a(b-c)=ab-bc

`\\ \rm\longmapsto x(x^2)-3x`

`\\ \rm\longmapsto x^3-3x`

`\\ \rm\longmapsto LHS`

Hence verifed