Mathematics: How do i expand the binomial (4x-2y)^4?

How do i expand the binomial (4x-2y)^4? - id4241022229, shahedraed82

Ответ:

ariannanykole1

13.03.2022

Hi,
$(a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4\\\\

(4x-2y)^4=2^4(2x-y)^4\\
=16((2x)^4+4*(2x)^3*(-y)+6(2x)^2*(-y)^2+4(2x)*(-y)^3+(-y)^4)\\
=16*(16x^4-32x^3y+24x^2y^2-8xy^3+y^4)\\\\

=256x^4-512x^3y+384x^2 y^2-128xy^3+16y^4$

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Ответ:

carlosleblanc26

02.09.2022

Mathematics

In order to solve this, you can either find the range for x, or you can plug in the variables.

-3(x - 4) > 6(x - 1)
-3x + 12 > 6x - 6
18 > 9x
2 > x

So you know x must be less than 2, and the only answer that meets this criteria is -1, so let's plug it in and see.

-3(-1 - 4) > 6(-1 - 1)
-3 (-5) > 6(-2)
15 > - 12

This statement is true, so we know that -1 is the answer.

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How do i expand the binomial (4x-2y)^4?

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