The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 8a + 20
Factorize the terms of the expression, then we have
⇒ 4 × 2a + 4 × 5
Take 4 common from both terms, then we have
⇒ 4 × 2a + 4 × 5
⇒ 4 (2a + 5)
The expression 8a + 20 is equivalent to the expression 4(2a + 5). Then the correct option is B.
More about the equivalent link is given below.
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we have
Bandages in
Cleanser Pads in
Cotton Balls in
Multiplication Story
The amount of a Cotton Balls kit is equal to the amount of half Bandages kit multiplied by the amount of a Cleanser Pads kit. What is the amount of a Cotton Balls kit if a Bandages kit has 4 units and a Cleanser Pads kit has 6 units?
Let
x-------> amount of a Cotton Balls in
y-------> amount of a Bandages in
z-------> amount of a Cleanser Pads in
we know that
--------> The number fact
therefore
The amount of a Cotton Balls in is
Answer:
See below
Step-by-step explanation:
Lets label the consecutive odd numbers as 2n+1 and 2n+3 where n is an integer.
We need to prove that
((2n + 3)^2 - (2n + 1)^2 is a multiple of 8.
Using the difference of 2 squares on the left side:-
(2n + 3 + 2n + 1)(2n + 3 - (2n + 1)
= (4n + 4)(2)
= 8n + 8 which is a multiple of 8
The difference between squares of consecutive odd numbers can be expressed as 4n+4 which is a multiple of 8.
Let's take two consecutive odd numbers. We can express an odd number as 2n+1 where n is any integer. So, the consecutive odd number will be 2n+3 (adding 2 to the previous one).
Now, the squares of these consecutive numbers are (2n+1)² and (2n+3)² respectively.
The difference between these squares is (2n+3)² - (2n+1)². Applying the formula a² - b² = (a+b)(a-b), we get 4n+4 as the answer which is a multiple of 8 as 8 divides it without a remainder.
So the difference between the squares of consecutive odd numbers is a multiple of 8.
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