factorise the following expressions:- (i) a³ – 27 (ii) 1 – 27x³ (iii) 8x³ – (2x – 3y)³ (IV) a⁸ – a²b⁶ (v) a³- 5 underroot5 b³

Question

factorise the following expressions:- (i) a³ – 27 (ii) 1 – 27x³ (iii) 8x³ – (2x – 3y)³ (IV) a⁸ – a²b⁶ (v) a³- 5 underroot5 b³

in progress 0
Camila 1 month 2021-08-16T05:14:45+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T05:16:24+00:00

    Answer:

    (i)a³-27

    = a³-3³

    = (a-3)(a²+3a+9)

    (ii) 1-27x³

    = 1³-(3x)³

    = (1-3x)(1+3x+9x²)

    (iii) 8x³(2x-3y)³

    = (2x)³-(2x-3y)³

    = (2x-(2x-3y)){(2x)²+2x(2x-3y)+(3y)²}

    = (2x-2x+3y)(4x²+4x²-6xy+9y²)

    = 3y(8x²-6xy+9y²)

    (iv)a-a²b

    = a²(a⁴-b⁶)

    = a²{(a²)²-(b³)²}

    = a²(a²-b³)(a²+b³)

    (v)a³-55b³

    = a³-(√5b)³

    = (a-√5b)(a²+√5ab+5b²)

    0
    2021-08-16T05:16:44+00:00

    Answer:

    1. (−3)(²+3+9)

    2.The expression is not factorable with rational numbers.

    3.y(y²−6x(y−2x))

    4. 2a²b³

    5. (a-√2b) (a²+2b² + √2ab)

Leave an answer

Browse

9:3-3+1x3-4:2 = ? ( )