Math, asked by Anonymous, 9 months ago

factories: x¹²y⁴-x⁴y¹²
please don't give wrong answer

Answers

Answered by Anonymous
2

✪ Question ✪

Factorise: x¹²y⁴ - x⁴y¹²

✪ To find ✪

The factors.

Identity to be used ✪

a² - b² = ( a + b) (a - b)

✪ Solution ✪

x¹²y⁴ - x⁴y¹²

= x⁴y⁴ (x⁸ - y⁸)

= x⁴y⁴ {(x⁴)² + (x⁴)²}

= x⁴y⁴ (x⁴ + y⁴) (x⁴ - y⁴)

= x⁴y⁴ (x⁴ + y⁴) {(x²)² - (x²)²}

= x⁴y⁴ (x⁴ + y⁴) (x² + y²) (x² - y²)

= x⁴y⁴ (x⁴+y⁴) (x²+y²) (x+y) (x-y)

✪ Hence ✪

x¹²y⁴ - x⁴y¹² = x⁴y⁴ (x⁴+y⁴) (x²+y²) (x+y) (x-y)

✪ Therefore ✪

x¹²y⁴ - x⁴y¹² when factorised gives x⁴y⁴ (x⁴+y⁴) (x²+y²) (x+y) (x-y).

๑ Hope this helps you. ๑

Answered by Anonymous
2

Answer:

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