4.10 Proficiency exam

( [link] ) In the expression below, specify the number of terms that are present, then list them.
$3a(a+1)-(a+2)(a-3)$

( [link] ) List, if there are any, the common factors of
$20x^3{y}^2+15x^3{y}^2{z}^2+10x^3{z}^2$

( [link] ) How many $y^2(b+2)\text{'}s$ in $8x{y}^2(b+2)(b-6)$ ?

( [link] ) Write the coefficient of $x^3$ in $8x^3{y}^{3}z$ .

( [link] ) Find the value of $P^2$ if $k=4$ and $a=3$ .
$P^2=k{a}^3$

( [link] ) Classify the polynomial given below as a monomial, binomial, trinomial, or none of these. Specify the degree of the polynomial and write the numerical coefficient of each term.
$3x^{3}y+4x{y}^4+8x^2{y}^2{z}^{0}w,z\ne 0$

( [link] ) $4x^2+3x+2x+11x^2-3$

( [link] ) $3a[2(a+1)+4]-18a$

( [link] ) $(x+2)(x+4)$

( [link] ) $(3a-7)(2a+10)$

( [link] ) ${(y+3)}^2$

( [link] ) ${(6a+7y)}^2$

( [link] ) ${(4x-9y)}^2$

( [link] - [link] ) $3x^2(2x+5)(3x+1)$

( [link] - [link] ) $(3a-b)(4a-3b)$

( [link] - [link] ) $-6y^2(2y+3y^2-4)$

( [link] - [link] ) $-4b^3{(b^2-1)}^2$

( [link] - [link] ) ${(2a^3+3b^2)}^2$

( [link] - [link] ) $6a(a-2)-(2a^2+a-11)$

( [link] - [link] ) $(5h+2k)(5h-2k)$

( [link] - [link] ) Subtract $4a^2-10$ from $2a^2+6a+1$ .

( [link] - [link] ) Add three times $6x-1$ to two times $-4x+5$ .

( [link] - [link] ) Evaluate $6k^2+2k-7$ if $k=-1$ .

( [link] - [link] ) Evaluate $-2m{(m-3)}^2$ if $m=-4$ .

( [link] ) What is the domain of $y=\frac{3x-7}{x+3}$ ?