Question

I need help with how to write the expressions in its simplest form which is 15 and I also need help with 16

Answer 1

Recall that like terms are terms that have the same variables and powers. The coefficients of the terms do not have to match.

a.- Notice that 4z and -3z are like terms since they have the same variables with the same exponents, therefore:

`4z-3z=(4-3)z=1z=z\text{.}`

b.- Notice that 3n and -3n are like terms, but 6 is a constant, therefore:

`6-3n+3n=6+(-3+3)n=6+0n=6.`

c.- In the given expression, the similar terms are 2g and -8g, and -3 and 11, therefore:

`2g-3+11-8g=(2-8)g+(-3+11)=-6g+8.`

d.- In the last expression, first, we have to apply the distributive property:

`3(4x-5)+4(2x+6)=12x-15+8x+24.`

Now, adding like terms we get:

`12x-15+8x+24=20x+9.`

Answer:

a.-

`z\text{.}`

b.-

`6.`

c.-

`-6g+8.`

d.-

`20x+9.`