Question

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

Answer 1

Answer:

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.

Step-by-step 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.

Answer 2

3x2(4x – 3) + 1(4x – 3)