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Амалдарды орындандар: a) (m - 2n) : (2n - m) / 5mn; б) (a+5b)/(a2-5ab) : (25b2-a2)/5b2
Mathematics
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Step-by-step solution
9 stepsHere are the solutions to the problems.
a)
Identify the denominators.
The denominators are and . Notice that .
Rewrite the expression with a common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
The final answer is .
б)
Factor the denominators in the first part of the expression.
The expression becomes:
Find a common denominator for the fractions inside the parenthesis, which is .
Expand the numerator using the difference of squares formula , where and .
The expression inside the parenthesis simplifies to:
Perform the division.
Division by a fraction is multiplication by its reciprocal. Also, note that .
Multiply the fractions.
The final answer is .
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