## Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48

Question

Which shows a difference of squares?10 y squared minus 4 x squared16 y squared minus x squared8 x squared minus 40 x 2564 x squared minus 48 x 9

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Mathematics
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2021-07-21T05:35:43+00:00
2021-07-21T05:35:43+00:00 1 Answers
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## Answers ( )

Answer:16 y squared minus x squared

Step-by-step explanation:The other all expressions except 16y²-x² doesn’t complete the square and its difference. Then we can check 16y²-x²,

Now take the expression 16y²-x² and we can try to solve it.

We can simplify the terms separately to associate them as perfect squares,

→ 16y² = (4y)² — (1)

→ x² = (1x)² — (2)

Now we can take the difference of eq. (1) and eq. (2),

→ 16y²-x²

→ (4y)²-(1x)² — (3)

Now eq. (3) shows a difference of squares.

Another representation is,

→ (4y – x) (4y + x)

→ 16y²- x²

→ (4y)²- (1x)²

Therefore, the expression 16y²-x² shows a correct difference of squares.