Question in photo, please help. This is the last one
1 answer:
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ANSWER
where,
EXPLANATION
We want to simplify the rational expression
We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares
We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,
We now factor to obtain,
This implies that,
We now cancel out common factors to obtain,
The restriction is that, the denominator cannot be zero.
Thus
This implies that,
where,
EXPLANATION
We want to simplify the rational expression
We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares
We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,
We now factor to obtain,
This implies that,
We now cancel out common factors to obtain,
The restriction is that, the denominator cannot be zero.
Thus
This implies that,