Question

(11) 8(x + y)^3-27(x-y)^3 factorize
(iv) 8a^3 - b^3- 4ax + 2bx
(v) a ^6+b^6
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Answer 1

Answer:

Step-by-step explanation:

(11)8(x+y)³-27(x-y)³

    (2(x+y))³-(3(x-y))³

    ((2(x+y)-(3(x-y)))((2(x+y))²+(2(x+y))(3(x-y))+(3(x-y))²)

    (2x+2y-3x+3y)((4(x²+y²+2xy)+6(x+y)(x-y)+9(x²+y²-2xy))

    (5y-x)(4x²+4y²+8xy+6(x²-y²)+9x²+9y²-18xy)

    (5y-x)(4x²+4y²+8xy+6x²-6y²+9x²+9y²-18xy)

    (5y-x)(4x²+6x²+9x²+4y²-6y²+9y²+8xy-18xy)

    (5y-x)(19x²+7y²-10xy)

(iv)8a³-b³-4ax+2bx

   (2a)³-(b)³-4ax+2bx

   ((2a)-(b))((2a)²+(2a)(b)+(b)²)-2x(2a-b)

   (2a-b)(4a²+2ab+b²)-2x(2a-b)

   (2a-b)(4a²+2ab+b²-2x)

(v)a⁶+b⁶

   (a²)³+(b²)³

   (a²+b²)((a²)²-(a²)(b²)+(b²)²)

   (a²+b²)(a⁴-a²b²+b⁴)