Question

2(X4 -y4 ). 3 (x3+2x2y -xy2 -2y3)
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Answer 1

2(x⁴-y⁴). 3(x³+2x²y-xy²-2y³)= (6x⁷+12x⁶y-6x⁵y²-12x⁴y³-6x³y⁴+12y⁵x²+6xy⁶+12y⁷)

Step-by-Step Solution:

2(x⁴-y⁴). 3(x³+2x²y-xy²-2y³)

Multiplying 2 and 3 inside the bracket

(2x⁴-2y⁴). (3x³+6x²y-3xy²-6y³)

Multiplying the terms within brackets

(6x³x⁴+12x⁴x²y-6x⁴xy²-12x⁴y³-6x³y⁴+12y⁴yx²+6xy²y⁴+12y³y⁴)

Using xᵃ. xᵇ= xᵃ⁺ᵇ

(6x⁷+12x⁶y-6x⁵y²-12x⁴y³-6x³y⁴+12y⁵x²+6xy⁶+12y⁷)

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