Question

The distributive property can be applied to which expression to factor 12x3 – 9x2 4x – 3?

Answer 1

3x2(4x – 3) + 1(4x – 3)

Answer 2

We can factored the given expression
`12x^3-9x^2+4x-3` as
`(3x^2+1)(4x-3)` by applying distributive property in first two term and last two terms.

Explanation:

Given : Expression
`12x^3-9x^2+4x-3`

We have to write the distributive property that can be applied to which expression to factor the given expression
`12x^3-9x^2+4x-3`

Distributive property states that when we multiply a number by the sum of two number is same as multiply the number by each number first and then add them.

Mathematically written as
`a(b+c)=a\cdot b + a\cdot c`

Consider the given expression
`12x^3-9x^2+4x-3`

Applying distributive property in first two term and last two , we have,

Taking
`3x^2` common from first two term and 1 from last two terms, we have,

`3x^2(4x-3)+1(4x-3)`

`(3x^2+1)(4x-3)`

Thus, We can factored the given expression
`12x^3-9x^2+4x-3` as
`(3x^2+1)(4x-3)` by applying distributive property in first two term and last two terms.