jaredlewq jaredlewq

25-07-2018
Mathematics

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If a-b= 3 and[tex] a^{2}-b^{2} [/tex]=33, find the value of a+b.

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AnnaBooks18 AnnaBooks18

25-07-2018

a=x b=y
[tex] {x}^{2} - {y}^{2} = 33 \\ (x - y) \times (x + y) = 33 \\ 3 \times (x + y) = 33 \\ x + y = 33 \div 3 \\ x + y = 11[/tex]
You only have to remember
[tex] {x}^{2} - {y}^{2} = (x + y) \times (x - y)[/tex]
since it's a rule

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