Respuesta :
Answer:
We can factored the given expression [tex]12x^3-9x^2+4x-3[/tex] as [tex](3x^2+1)(4x-3)[/tex] by applying distributive property in first two term and last two terms.
Step-by-step explanation:
Given : Expression [tex]12x^3-9x^2+4x-3[/tex]
We have to write the distributive property that can be applied to which expression to factor the given expression [tex]12x^3-9x^2+4x-3[/tex]
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 [tex]a(b+c)=a\cdot b + a\cdot c[/tex]
Consider the given expression [tex]12x^3-9x^2+4x-3[/tex]
Applying distributive property in first two term and last two , we have,
Taking [tex]3x^2[/tex] common from first two term and 1 from last two terms, we have,
[tex]3x^2(4x-3)+1(4x-3)[/tex]
[tex](3x^2+1)(4x-3)[/tex]
Thus, We can factored the given expression [tex]12x^3-9x^2+4x-3[/tex] as [tex](3x^2+1)(4x-3)[/tex] by applying distributive property in first two term and last two terms.