Question

Factorise: a) x⁴ - (x + y)⁴ and b) x² - 9x + 18​

Answer 1

FACTORING

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A)

$\implies \sf \large {x}^{4} - (x + y {)}^{4}$

$\implies \sf \large {x}^{4} - {x}^{4} + {y}^{4}$

$\implies \sf \large 0 + {y}^{4}$

$\implies \sf \large \therefore \: {y}^{4}$

Final Answer:

$\: \tt \huge \purple{ {y}^{4} }$

B)

$\implies \sf \large {x}^{2} - 9x + 18$

$\implies \sf \large {x}^{2} - 3x - 6x + 18$

$\implies \sf \large x(x - 3) - 6(x - 3)$

$\implies \sf \large \therefore \: (x - 3)(x - 6)$

Final Answer:

$\tt \huge \purple{(x - 3)(x - 6)}$

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