Asked by Sherrie
Can you simplify (9x)^-2 = -81x^2
Answers
Answered by
MathMate
Is the equal sign meant to be a minus sign, such as:
(9x)^-2 -81x^2
If the equal sign is there, it would be an equation, which we usually solve and not simplify.
For
(9x)^-2 -81x^2
note that they are both perfect squares, and you can apply the identity:
a²-b²=(a+b)(a-b)
So
(9x)^-2 -81x^2
=(1/9x)² - (9x)²
=(1/9x + 9x)(1/9x - 9x)
(9x)^-2 -81x^2
If the equal sign is there, it would be an equation, which we usually solve and not simplify.
For
(9x)^-2 -81x^2
note that they are both perfect squares, and you can apply the identity:
a²-b²=(a+b)(a-b)
So
(9x)^-2 -81x^2
=(1/9x)² - (9x)²
=(1/9x + 9x)(1/9x - 9x)
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