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.
