3 years ago

Simplify the following expression. 15p+15p+25p =

Mathematics

1 answer:

IrinaK [193]3 years ago

3 0

15p+15p+25p=30p+25p=55p

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3 years ago

Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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2 years ago

Order the following from greatest to least: -12,12,-19,1 and 1/2,5.....

den301095 [7]

-19, -12, 1/2, 1, 5, 12 ----> least to greatest
12, 5, 1, 1/2, -12, -19 ----> greatest to least

Do the same as the last one, starting with the largest negative number, and ending with the largest positive number. The only difference in this case is that it is greatest to least. I tend to go from least to greatest first and then flip it around to get greatest to least (:

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3 years ago

Simplify the following expression. ​ ​ 15p+15p+25p =​

Simplify the following expression. 15p+15p+25p =