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I am Lyosha [343]
3 years ago
9

(a + b)(a ² - ab + b ²) Please help!

Mathematics
2 answers:
stepladder [879]3 years ago
7 0
Use FOIL. 

(a + b)(a^2 - ab + b^2) 
a^3 + a^2b + b^2a - a^2b - b^2a - b^3
<span>a^3 + b^3 <----------Answer </span>
kvasek [131]3 years ago
4 0
Hey there :)

( a + b )( a² - ab + b² )
Let us distribute ( a + b )

a ( a² ) + a ( - ab ) + a ( b² ) + b ( a² ) + b ( - ab ) + b ( b² )
a³ - a²b + ab² + a²b - ab² + b³

We can simplify further:
- a²b + a²b = 0
ab² - ab² = 0

a³ + b³

You can see in the picture I have attached that this is the 7th formula

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Step-by-step explanation:

Given that a large furniture company claims that 65% of all individuals who buy chairs from its stores choose wood chairs, 20% choose plastic chairs, and 15% choose metal chairs, and to investigate this claim researchers collected data from a random sample of the companys customers, whose results were 305 wood, 121 plastic, and 74 metal, to determine if the data from the sample consistent with the companys claim the following calculations should be performed:

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