Use the distributive property to find each binomial product.
(x+7)(x+4)
Use the distributive property to find each binomial product.
(x-3)(x-5)
Use the distributive property to find each binomial product.
(x+2y)(x-5y)
Use the distributive property to find each binomial product.
(4a-3b)(2a+5b)
Expand and simplify.
-(k-3)(k+5)
Expand and simplify.
3(m+2n)(m-3n)
Expand and simplify.
t(t-3v)(t-4v)
Expand and simplify.
(y+2)(y+5)-(y-2)(y-5)
Expand and simplify.
2x(x+1)(x-3)
Expand and simplify.
4x(2x+1)(x-3)-2x(x+4)(x-5)
Write an algebraic expression to represent the area of the figure. Expand and simplify.
Draw a diagram to illustrate each product.
(x+5)^2
Draw a diagram to illustrate each product.
(a+3)^2
Expand and simplify.
(x+4)^2
Expand and simplify.
(q+7)^2
Expand and simplify.
(r-8)^2
Expand and simplify.
(t-5)^2
Expand and simplify.
(n+8)^2
Expand and simplify.
(p-6)^2
Expand and simplify.
(k+11)(k-11)
Expand and simplify.
(r-8)(r+8)
Expand and simplify.
(s+13)(s-13)
Expand and simplify.
(u-5)(u+5)
Expand and simplify.
(x-9)(x+9)
Expand and simplify.
(t+4)(t-4)
Expand and simplify.
(3x+y)^2
Expand and simplify.
(4m-n)^2
Expand and simplify.
(6p+5q)^2
Expand and simplify.
(8p-7q)^2
Expand and simplify.
(2g-3h)(2g+3h)
Expand and simplify.
-(4r+5s)(4r-5s)
Use algebra tiles or a diagram to illustrate the factoring of each polynomial.
x^2+5x
Use algebra tiles or a diagram to illustrate the factoring of each polynomial.
2x^2+6x
Factor.
5x+15y
Factor.
13ab-15bc
Factor.
t^2+5t
Factor.
3m^2-6m^3
Factor by grouping.
15x^2+10x+12x+8
Factor by grouping.
3m^2-15m-2m+10
Factor by grouping.
10p^2+2p-5p-1
Factor by grouping.
6x^2-2x-15x+5
Factor, if possible.
6m^2-8m+4
Factor, if possible.
cx+cy+dx+dy
Factor, if possible.
7a^2-13ab-6b^2
Factor, if possible.
ghz^2-g^2hz+ghz
A rectangle has area given by the expression 14x^2+7x. The length and width can be found by factoring the expression. Find all possible expressions for the length and width.
Illustrate the factoring of each trinomial using algebra tiles or a diagram.
x^2+8x+15
Illustrate the factoring of each trinomial using algebra tiles or a diagram.
x^2+5x+4
Illustrate the factoring of each trinomial using algebra tiles or a diagram.
x^2+8x+16
Factor.
d^2+11d+30
Factor.
q^2+10q+16
Factor.
m^2-15m+56
Factor.
z^2-8z+12
Factor.
r^2+6r-7
Factor.
w^2+5w-24
Factor.
p^2-7p-18
Factor.
e^2-3e-10
Factor.
8x^2+18x+7
Factor.
15y^2+26y+8
Factor.
6c^2-13c+5
Factor.
8h^2-10h+3
Factor.
4w^2+8w-21
Factor.
6p^2-19p-7
Factor, if possible.
6x^2+5xy-25y^2
Factor, if possible.
12m^2-7mn-12n^2
Factor, if possible.
4p^2+7pq+3q^2
Factor, if possible.
3k^2-13kv+4v^2
Factor, if possible.
7c^2+8cd-5d^2
Factor, if possible.
6h^2-13hk+5k^2
A rectangle has area defined by 12x^2+17x+6.
a) Factor to find the algebraic expressions for the length and width of the rectangle.
b) If x represents 10 cm, determine the perimeter and the area of the rectangle.
Factor.
x^2-16
Factor.
y^2-64
Factor.
9a^2-16b^2
Factor.
25m^2-49n^2
Verify that each trinomial is a perfect square. Then, factor.
x^2+12x+36
Verify that each trinomial is a perfect square. Then, factor.
q^2-10q+25
Verify that each trinomial is a perfect square. Then, factor.
16m^2+24m+9
Verify that each trinomial is a perfect square. Then, factor.
9a^2-30a+25
Verify that each trinomial is a perfect square. Then, factor.
4a^2+28ab+49b^2
Verify that each trinomial is a perfect square. Then, factor.
64p^2-80pq+25q^2