Answer:
<u>Distributive Property</u>
Step-by-step explanation (if you were to show the steps):
(x+2)(y+z) <u>(first expression)</u>
xy + xz + 2y + 2z <u>(Distributive Property of Multiplication)</u>
yx + 2y + zx + 2z <u>(use the Commutative Property of Addition and Commutative Property of Multiplication to group xy (also known as yx) and 2y together, and to group xz (also known as zx) and 2z together)</u>
y(x + 2) + z(x + 2) <u>(use factoring to get the rewritten expression at the end)</u>
Answer:
(a - 3) • (a - 4)
Step-by-step explanation:
The first term is, a2 its coefficient is 1 .
The middle term is, -7a its coefficient is -7 .
The last term, "the constant", is +12
Multiply the coefficient of the first term by the constant 1 • 12 = 12
Find two factors of 12 whose sum equals the coefficient of the middle term, which is -7 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7 That's it
Rewrite the polynomial splitting the middle term using the two factors, -4 and -3
a2 - 4a - 3a - 12
Add up the first 2 terms, pulling out like factors :
a • (a-4)
Add up the last 2 terms, pulling out common factors :
3 • (a-4)
Add up the four terms
(a-3) • (a-4)
Really hope this helps :)
5+(-13)= -8,
-8 + 100 = 92!
I hope this helped!
Answer:
k = 
Step-by-step explanation:
Expand.
11k - 8 = 11 + 8k + 72
Simplify 11 + 8k + 72 to 8k + 83.
11k - 8 = 8k + 83
Add 8 to both sides.
11k + 8k + 83 + 8
Simplify 8k + 83 + 8 to 8k + 91.
11k = 8k + 91
Subtract 8k from both sides.
11k - 8k = 91
Simplify 11k - 8k to 3k.
3k = 91
Divide both sides by 3.
k =
Answer:
The given expression is simplified as 
Step-by-step explanation:
Here,the given expression is (x+9)(x -9)
Using the ALGEBRAIC IDENTITY:
Now, here in the given expression (x + 9)(x -9)
Comparing it the left side of the identity,
we get a = x
and b = 9
The right side of the equation is 
Substituting the value of a and b, we get
⇒ 
= 
Hence, the given expression is simplified as
