Rationalize the denominator and simplily.

Mathematics

2 answers:

pychu [463]3 years ago

4 0

Answer:

Step-by-step explanation:

(a-b)² = a²-2ab + b²

(a+b)(a-b)=a²-b²

$\frac{\sqrt{a+1} -2}{\sqrt{a+1}+2}= \frac{(\sqrt{a+1}-2)(\sqrt{a+1}-2 )}{(\sqrt{a+1}+2 )(\sqrt{a+1}-2)}\\\\$

$=\frac{(\sqrt{a+1}-2 )^{2}}{(\sqrt{a+1} )^{2}-2^{2}}\\\\=\frac{(\sqrt{a+1})^ {2}-2*\sqrt{a+1}*2+2^{2} }{a+1-4}\\\\=\frac{a+1 - 4\sqrt{a+1}+4 }{a-3}\\\\=\frac{a+5-4\sqrt{a+1} }{a-3}$

mote1985 [20]3 years ago

3 0

Answer:

( (√ a+ 1) − 2 ) ^2/a-3

Step-by-step explanation:

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If (2x^ay^b)^3 = 8x^12y^27, find the value of “a” and “b”.

ad-work [718]

a = 4, b= 9. Explanation: Since all of it is to the power of 3, we can divide the exponents to of the results (right side of the equation). 12/3=4, 27/3=9. Hope this helps.

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2 years ago

Feliz [49]

None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.

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