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3 years ago

Factor this expression completely. u^3 - v^3

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Completely factored form of u^3-v^3 is:

$(u-v)(u^2+uv+v^2)$

Step-by-step explanation:

Algebraic formulas are used to factorize the expression.

Given

$u^3 - v^3$

The formula involving cube with negative sign is:

$a^3-b^3 = (a-b)(a^2+ab+b^2)$

Using this formula:

$u^3-v^3 = (u)^3 - (v)^3\\= (u-v)(u^2+uv+v^2)$

Hence,

Completely factored form of u^3-v^3 is:

$(u-v)(u^2+uv+v^2)$

Keywords: Factorization

Learn more about factors at:

#LearnwithBrainly

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3 years ago

Sammy bought 15.3 Liters of milk. She poured the milk equally into 5 bottles. There was 0.35 liters of milk left over. Calculate

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Answer:

The capacity of milk in 1 bottle is 2.99 liters

Step-by-step explanation:

Let us solve the question

∵ Sammy bought 15.3 liters of milk

∵ She poured the milk equally into 5 bottles

∵ There were 0.35 liters of milk leftover

→ At first, subtract the leftover from the quantity she bought to

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