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pentagon [3]
3 years ago
12

Write the factors of

e=" {a}^{3} + {b}^{3} ." alt=" {a}^{3} + {b}^{3} ." align="absmiddle" class="latex-formula">​
Mathematics
2 answers:
Oduvanchick [21]3 years ago
6 0

Step-by-step explanation:

a {}^{3}  + b {}^{3}

Notice how that for both a and b are raised to an odd power. This means we can factor this by a binomial raised to an odd power.

Let divide this by

a + b

Since that is also a odd power.

( {a}^{3}  +  {b}^{3} ) \div (a + b)

We get

a quotient of

( {a}^{2}  - ab +  {b}^{2} )

So our factors are

(a + b)( {a}^{2}  - ab +  {b}^{2} )

Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

(a+b)(a^{2} -ab+b^{2} )

Step-by-step explanation:

\textbf{We need to factor this expression} \textbf{by applying the sum of two cubes rule:}

\Longrightarrow A^{3} +B^{3} =(A+B)(A^{2} -AB+B^{2} )

Here,  

A= a

B= b

So, (a+b)(a^{2} -ab+b^{2} )

\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto

\textsl{OAmalOHopeO}

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