Respuesta :

3x2(4x – 3) + 1(4x – 3) 

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.

ACCESS MORE
EDU ACCESS