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

Mathematics

2 answers:

Yanka [14]3 years ago

7 0

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.

fomenos3 years ago

3 0

3x2(4x<span> – 3) + 1(4</span>x<span> – 3) </span>

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