Question

factorise 27x³ - 54x²y + 36xy² - 8y³+8​

Answer 1

★GIVEN:-

• 27x³ - 54x²y + 36xy² - 8y³+8

★find:-

• given quantity factorise

★solution:-

$\implies \red{27x³ - 54x²y + 36xy² - 8y³+8}$

can we be written as

$\implies (3x) {}^{3} -( 2y) {}^{3} - 3(3x) {}^{2} (2y) + 3(3y) {}^{}(2x) {}^{2} + 8$

we know that

$\implies \: \star \pink{a {}^{3} - b {}^{3} - 3a {}^{2}b + 3ab {}^{2} = (a - b) {}^{3} }$

so

$\implies \green{(3x - 2y) {}^{3} + 8 }$

answer

factorise 27x³ - 54x²y + 36xy² - 8y³+8

$\implies \: (3x - 2y) {}^{3} + 8$

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I hope it helps you