Question

Simplify: (a²+ b²+ c²)(a³) + (a³– b³–c³)(b³)

Verify your result in the above problem for a =1, b =1, c= 2
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Answer 1

$\bf\huge\red{\mid{\overline{\underline{AnswEr}}}\mid}$

-48

$\bf\huge\red{\mid{\overline{\underline{Explanation}}}\mid}$

$(a {}^{2} + b {}^{2} + c {}^{2} )(a {}^{3} - b {}^{3} - c {}^{3} )(b {}^{3} )$

If a = 1 . b = 1 . c = 2

$(1 {}^{2} + 1 {}^{2} + 2 {}^{2} )(1 {}^{3} - 1 {}^{3} - 2 {}^{3} )(1 {}^{3} )$

$= (1 + 1 + 4)(1 - 1 - 8)(1)$

$= (6)( - 8)(1)$

$= - 48$