Math

QuestionCalculate the expression: 1+52+(1+3)21 + 5 \cdot 2 + (1 + 3)^{2}.

Studdy Solution

STEP 1

Assumptions1. We are using the standard order of operations, also known as BIDMAS or PEMAS Brackets/parentheses, Indices/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).

STEP 2

First, we need to solve the operation inside the parentheses.
(1+)2(1+)^{2}

STEP 3

Calculate the sum inside the parentheses.
1+3=1+3 =

STEP 4

Substitute the result back into the equation.
1+2+421+ \cdot2+4^{2}

STEP 5

Next, we need to calculate the exponent.
424^{2}

STEP 6

Calculate the square of4.
42=164^{2} =16

STEP 7

Substitute the result back into the equation.
1+52+161+5 \cdot2+16

STEP 8

Next, we need to perform the multiplication operation.
525 \cdot2

STEP 9

Calculate the multiplication.
52=5 \cdot2 =

STEP 10

Substitute the result back into the equation.
+10+16+10+16

STEP 11

Finally, perform the addition operations.
+10+16+10+16

STEP 12

Calculate the sum.
+10+16=27+10+16 =27The result of the expression +52+(+)2+5 \cdot2+(+)^{2} is27.

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