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Mathematics

Grade10

Easy

Question

Write the product in standard form. (x + 2.5)(x – 2.5)

$x^{2} - 6.25$
$x^{2} - 625$
$x^{2} + 6.25$
$x^{2} + 625$

hint Hint:

Use the formula $open parentheses a space plus space b close parentheses open parentheses a space minus space b close parentheses space equals space a squared space minus space b squared$

The correct answer is: $x squared – 6.25$

Using the pattern $left parenthesis a plus b right parenthesis left parenthesis a – b right parenthesis equals a squared – b squared comma$
$open parentheses x space plus thin space 2.5 close parentheses open parentheses x space minus space 2.5 close parentheses space equals space x squared – 2.5 squared space equals space x squared – space 6.25$

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