Question

Simplify and give term,coefficient,and constant for each one

3m - 1 + 4m -3x

7(3+2x)-4x+5

3x+4(x-3)

Answer 1

Answer:

7m-3x-1

10x+26

7x-12

Step-by-step explanation:

3m - 1 + 4m -3x

sum terms by the same variable:

3m+4m=7m

we have:

7m-3x-1

7(3+2x)-4x+5

apply the distributive property:

7*3+7*2x-4x+5

we have:

10x+26

3x+4(x-3)

apply the distributive property:

3x+4*x-12

we have:

7x-12

Answer 2

Answer with explanation:

Term--

Terms of the algebraic expression are the parts of the expression which are separated by mathematical operators.

Coefficient--

Coefficients are the multiples which are attached just before the variable in the variable term.

Constant--

The term which does not contain variable.

a)

$3m-1+4m-3x$

on combining the like terms we have:

$3m+4m-1-3x\\\\=7m-1-3x$

• There are three terms:

           $7m,1\ and\ 3x$

• Also, the coefficients are:

            $7\ and -3$

• and the constant term is:

                $-1$

b)

$7(3+2x)-4x+5$

on simplifying.

$=7\times 3+7\times (2x)-4x+5\\\\=21+14x-4x+5\\\\=14x-4x+21+5\\\\=10x+26$

• There are two terms:

         $10x\ and\ 26$

• Also, the coefficient is:

             $10$

• and the constant term is:

               $26$

c)

$3x+4(x-3)$

on simplifying the given expression:

$=3x+4\times x+4\times (-3)\\\\=3x+4x-12\\\\=7x-12$

• There are two terms:

                $7x\ and\ 12$

• Also, the coefficient is:

                     $7$

• and the constant term is:

                        $-12$