Question

Substracting 3x2+4x from 7x2+x+9 results in a polynomial. After subtracting 4x2-3x from this polynomial, the difference is ?

Answer 1

Answer:

9

Step-by-step explanation:

So first step is to subtract $3x^2+4x$ from $7x^2+x+9$. In setting this up you get the following expression

$(7x^2+x+9)-(3x^2+4x)$

Distribute the negative

$7x^2+x+9-3x^2-4x$

Group like terms

$(7x^2-3x^2)+(x-4x)+9$

Simplify:

$4x^2-3x+9$

Now subtract $4x^2-3x$. In setting this up you get the following expression

$(4x^2-3x+9)-(4x^2-3x)$

Distribute the negative:

$4x^2-3x+9-4x^2+3x$

Group like terms

$(4x^2-4x^2) + (-3x+3x) + 9$

Simplify:

$9$