Question

factorise 27y³_125x³​

Answer 1

Answer :

= 27y³-125x³

= 3³y³ - 5³x³

= (3y)³ - (5x)³

• Use identity a³ - b³ = (a - b)${\sf{{a}^{2} + ab + {b}^{2}}}$

=( 3y - 5x)${\sf{{3y}^{2} + (3y×5x) + {5x}^{2}}}$

=( 3y - 5x)${\sf{{9y}^{2} + 15xy + {25x}^{2}}}$

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