QuestionCalculate the value of $(3+3)^{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(3+3)^{}$ . . We need to simplify this expression.

STEP 2

The given expression is in the form of $(a+b)^{2}$ . According to the formula of squares, this can be simplified as $(a+b)^{2} = a^{2} +2ab + b^{2}$ . But in this case, since $a$ and $b$ are equal, we can simplify it as $(a+a)^{2} =4a^{2}$ .

STEP 3

Substitute $a =3$ into the simplified formula.
$(3+3)^{2} = \times3^{2}$

STEP 4

Calculate $3^{2}$ .
$3^{2} =9$

STEP 5

Substitute $3^{2} =9$ back into the formula.
$4 \times3^{2} =4 \times9$

STEP 6

Calculate the final result.
$4 \times9 =36$ So, $(3+3)^{2} =36$ .

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QuestionCalculate the value of $(3+3)^{2}$ .

Studdy Solution

STEP 1

Assumptions1. We are given the expression $(3+3)^{}$ . . We need to simplify this expression.

STEP 2

The given expression is in the form of $(a+b)^{2}$ . According to the formula of squares, this can be simplified as $(a+b)^{2} = a^{2} +2ab + b^{2}$ . But in this case, since $a$ and $b$ are equal, we can simplify it as $(a+a)^{2} =4a^{2}$ .

STEP 3

Substitute $a =3$ into the simplified formula.
$(3+3)^{2} = \times3^{2}$

STEP 4

Calculate $3^{2}$ .
$3^{2} =9$

STEP 5

Substitute $3^{2} =9$ back into the formula.
$4 \times3^{2} =4 \times9$

STEP 6

Calculate the final result.
$4 \times9 =36$ So, $(3+3)^{2} =36$ .

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QuestionCalculate the value of (3+3)2(3+3)^{2}(3+3)2.

Studdy Solution

STEP 1

Assumptions1. We are given the expression (3+3)(3+3)^{}(3+3). . We need to simplify this expression.

STEP 2

The given expression is in the form of (a+b)2(a+b)^{2}(a+b)2. According to the formula of squares, this can be simplified as (a+b)2=a2+2ab+b2(a+b)^{2} = a^{2} +2ab + b^{2}(a+b)2=a2+2ab+b2. But in this case, since aaa and bbb are equal, we can simplify it as (a+a)2=4a2(a+a)^{2} =4a^{2}(a+a)2=4a2.

STEP 3

Substitute a=3a =3a=3 into the simplified formula.(3+3)2=×32 (3+3)^{2} = \times3^{2} (3+3)2=×32

STEP 4

Calculate 323^{2}32.32=93^{2} =9 32=9

STEP 5

Substitute 32=93^{2} =932=9 back into the formula.4×32=4×94 \times3^{2} =4 \times9 4×32=4×9

STEP 6

Calculate the final result.4×9=364 \times9 =36 4×9=36So, (3+3)2=36(3+3)^{2} =36(3+3)2=36.

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QuestionCalculate the value of $(3+3)^{2}$ .

Assumptions1. We are given the expression $(3+3)^{}$ . . We need to simplify this expression.

The given expression is in the form of $(a+b)^{2}$ . According to the formula of squares, this can be simplified as $(a+b)^{2} = a^{2} +2ab + b^{2}$ . But in this case, since $a$ and $b$ are equal, we can simplify it as $(a+a)^{2} =4a^{2}$ .

Substitute $a =3$ into the simplified formula.
$(3+3)^{2} = \times3^{2}$

Calculate $3^{2}$ .
$3^{2} =9$

Substitute $3^{2} =9$ back into the formula.
$4 \times3^{2} =4 \times9$

Calculate the final result.
$4 \times9 =36$ So, $(3+3)^{2} =36$ .