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densk [106]
2 years ago
14

Please help with #12 im confused that is the key but i dont get it

Mathematics
2 answers:
Alex2 years ago
8 0

Using subtraction of perfect squares, it is found that the result of the expression is of 184.

<h3>What is subtraction of perfect squares?</h3>

It is represented by the following identity:

(a - b)(a + b) = a^2 - b^2

In this problem, the expression is:

(8\sqrt{3} - 2\sqrt{2})(8\sqrt{3} + 2\sqrt{2})

Hence, applying the identity:

(8\sqrt{3} - 2\sqrt{2})(8\sqrt{3} + 2\sqrt{2}) = (8\sqrt{3})^2 - (2\sqrt{2})^2 = 64(3) - 4(2) = 192 - 8 = 184

Hence, the result of the expression is of 184.

To learn more about subtraction of perfect squares, you can take a look at  brainly.com/question/16948935

Svetllana [295]2 years ago
4 0

Given Equation

\boxed{ \tt \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})}

Step by step expansion:

\dashrightarrow \sf \: (8 \sqrt{3}  - 2 \sqrt{2} )(8 \sqrt{3}   + 2 \sqrt{2})

\\  \\

\dashrightarrow \sf \: (8 \sqrt{3})^{2}  - (2 \sqrt{2}  {)}^{2}

Reason:

(a + b)(a - b) = a²- b²

\\  \\

\dashrightarrow \sf \: (8 {}^{2}  \times  { \sqrt{3} }^{2} )- (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 \sqrt{2}  {)}^{2}

\\  \\

\dashrightarrow \sf \: (64  \times 3 ) - (2 {}^{2} \times   \sqrt{2}  {}^{2}  {)}

\\  \\

\dashrightarrow \sf \: 192- 8

\\  \\

\dashrightarrow \sf \: 184

\\  \\

~BrainlyVIP ♡

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