Question

Find the value of ab when a-b & a^2 + b^2 =32

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Answer 1

Answer:

Step-by-step explanation:

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

32^2=32-2ab

1024=32-2ab

1024-32=-2ab

992÷-2=ab

-496=ab

Answer 2

Find the value:

Step-by-step explanation:

$\ Given \ value: \\\\ \ a\ -\ b = 32 \\\\ \ a^2 \ + \ b^2 \ =\ 32\\\\\ Find: \\\\\ ab\ = ? \\\\\ Solution:\\\\\ formula: \\\\\ (a-b)^2 \ = a^2+b^2-2ab\\\\\ put \ the \given \ value \ in \ above \ formula: \\\\\rightarrow (32)^2 = 32-2ab \\\\\rightarrow 1024 -32= -2ab \\\\\rightarrow 992= -2ab \\\\\rightarrow ab=- \frac{992}{2} \\\\\rightarrow ab=- 496$

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