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Aliun [14]
3 years ago
6

Which expression is the completely factored form of x6−64y3 ?

Mathematics
2 answers:
ss7ja [257]3 years ago
7 0

We are given this

x^6 -64y^3

write it as the difference of cubes

(x^2)^3 -(4y)^3

use the formula for the difference of cubes

(x^2-4y) ((x^2)^2+x^2*4y+(4y)^2)

Now use the formula for the difference of squares as 4y = (2\sqrt{y} )^2

(x-2\sqrt{y}) (x+2\sqrt{y}) (x^4+4x^2y+16y^2)

KIM [24]3 years ago
7 0

(x^{2} -4y)(x^{4} +4x^{2} y+16y^{2} )

is the answer.

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