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Question

$text If end text u plus t equals 5 text and end text u minus t equals 2$ what is the value of $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses ?$

hint Hint:

Hint:

For solving linear equation in two variable we can use elimination method.

The correct answer is: 20

Explanation:

We have given two linear equation . $table attributes columnalign right columnspacing 1em end attributes row cell u plus t equals 5 end cell row cell u minus t equals 2 end cell end table$

We have to find the value of . $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses$

Step 1 of 2:
The given equation is . $table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell u plus t equals 5 end cell row cell u minus t equals 2 end cell end table text . end text$
Add both the equation
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 u equals 7 end cell row cell u equals 3.5 end cell end table$
Now put this value in $u plus t equals 5$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3.5 plus t equals 5 end cell row cell t equals 1.5 end cell end table$
Step 2 of 2:
Now we will find the value of $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses$
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell left parenthesis 3.5 minus 1.5 right parenthesis open parentheses 3.5 squared minus 1.5 squared close parentheses end cell row cell 2 cross times 10 end cell end table$
Final answer:
The value of is . $left parenthesis u minus t right parenthesis open parentheses u squared minus t squared close parentheses text is end text 20$ .

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