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Popular Pre Algebra >

((204-43)^2)/(204+43)

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Solution

204+43(204−43)2​

Solution

104247233​
+1
Decimal
104.94331…
Solution steps
204+43(204−43)2​
Solve (204−43)2:25921
Follow the PEMDAS order of operations
Calculate within parentheses (204−43):161
204−43
204−43=161=161
=1612
Calculate exponents 1612:25921
1612
1612=25921=25921
=25921
Solve 204+43:247
204+43=247=247
=24725921​
Convert improper fractions to mixed numbers:24725921​=104247233​
24725921​=104Remainder233
24725921​
Write the problem in long division format247∣25921​​
Divide 259by 247to get 1
Divide 259by 247to get 11247∣25921​​
Multiply the quotient digit (1)by the divisor 2471247∣25921​247​​
Subtract 247from 2591247∣25921​247​12​
Bring down the next number of the dividend1247∣25921​247​122​
1247∣25921​247​122​
Divide 122by 247to get 0
Divide 122by 247to get 010247∣25921​247​122​
Multiply the quotient digit (0)by the divisor 24710247∣25921​247​1220​​
Subtract 0from 12210247∣25921​247​1220​122​
Bring down the next number of the dividend10247∣25921​247​1220​1221​
10247∣25921​247​1220​1221​
Divide 1221by 247to get 4
Divide 1221by 247to get 4104247∣25921​247​1220​1221​
Multiply the quotient digit (4)by the divisor 247104247∣25921​247​1220​1221988​​
Subtract 988from 1221104247∣25921​247​1220​1221988​233​
104247∣25921​247​1220​1221988​233​
The solution for Long Division of 24725921​is 104with remainder of 233104Remainder233
Convert to mixed number: QuotientDivisorRemainder​24725921​=104247233​
=104247233​
=104247233​

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Frequently Asked Questions (FAQ)

  • What is ((204-43)^2)/(204+43) ?

    The solution to ((204-43)^2)/(204+43) is 104 233/247

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