Question

Please foil (x^2 - (1/5x^2))^2

Answer 1

(x² - (1/5x²))²

Using (a-b)² = a²-2×ab+b²

(x²)² -2x²×(1/5x)² + (1/5x²)²

x⁴ -2x⁴ + 1/25⁴

We developed the fraction to obtain the lowest common denominator

x⁴/1 - 2x⁴/5 +x⁴/25

25×(X⁴)/25×1 - 5×(2x⁴)/5×5 + x⁴/25


25×⁴/25 - 10x⁴/25 + x⁴/25

{25×⁴- 10x⁴ + 1x⁴}/25

{26×⁴- 10x⁴}/25

{26×⁴- 10x⁴}/25

16x⁴/25