Question

factorise:
i) x⁵+x²
ii) x³-512
iii) 64x³-343
iv) 1-27x³ ​

Answer 1

ANSWERS:

i) x²(x+1)(x²-x+1)

ii) (x-8)(x²+8x+64)

iii) (4x-7)(16x²+28x+49)

iv) (1-3x)(1+3x+9x²)

Step-by-step explanation:

i)x⁵+x²

= x²(x³+1)

=x²(x³+1³)

=x²(x+1)(x²-x+1)

ii) x³-512

= x³-8³

= (x-8)(x²+8x+64)

iii) 64x³-343

= (4x)³-7³

= (4x-7)(16x²+28x+49)

iv) 1-27x³ ​

= 1³-(3x)³

=(1-3x)(1+3x+9x²)