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

Answer:16 y squared minus x squaredStep-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)²Therefore, the expression 16y²-x² shows a correct difference of squares.