Factorize : x6 + 32x3 - 64
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x6 + 32x3 -64
=> (x²)³ + (2x)³ + (-4)³ - 3(x²)(2x)(-4)
Lets see is it right or not
(x²)³ = x6
(2x)³ = 8x³ & -3(x²)(2x)(-4) = 24x³
so , (2x)³-3(x²)(2x)(-4) = 8x³+24x³ = 32x³
(-4)³ = -64
Now,
=> (x²)³ + (2x)³ + (-4)³ - 3(x²)(2x)(-4)
=> (x²+2x-4) ( x⁴+4x²+16-2x³+8x+4x² ) Ans
@:-)
x6 + 32x3 -64
=> (x²)³ + (2x)³ + (-4)³ - 3(x²)(2x)(-4)
Lets see is it right or not
(x²)³ = x6
(2x)³ = 8x³ & -3(x²)(2x)(-4) = 24x³
so , (2x)³-3(x²)(2x)(-4) = 8x³+24x³ = 32x³
(-4)³ = -64
Now,
=> (x²)³ + (2x)³ + (-4)³ - 3(x²)(2x)(-4)
=> (x²+2x-4) ( x⁴+4x²+16-2x³+8x+4x² ) Ans
@:-)
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