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factorise-

x4-(x-z)4

x4-(x-z)4

(x2)2-{[(x-z)2]2}

or, x2-(x-z)2

or, [x-(x-z)][x+(x-z)]

or, (x-x+z)(x+x-z)

or, z(2x-z)

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how can (x2)2-{[(x-z)2]2} be equal to x2-(x-z)2 ????

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i know right.. i gave the answer wrongly... sorry..

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  (x 2 ) 2 -[(x-z) 2 ] 2  can be  x 2 -(x-z)2 

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x 4 – (x – z)4

= (x 2)2 – [(x – z)2]2

 

The given equation is of the form, a 2 – b 2 = (a + b) (a – b),

where a = x 2 and b = (x – z)2

 

∴ (x 2)2 – [(x – z)2]2 = [x 2 + (x – z)2] [x 2 – (x – z)2]

= [x 2 + x 2 + z 2 – 2xz] [x 2 – x 2 – z 2 + 2xz]

= [2x 2 + z 2 – 2xz] [2x– z 2]

= [2x 2 – 2xz + z2] × z[2x– z]

 

Hence, x 4 – (x – z)4 = z (2x – z )(2x 2 – 2xz + z 2)

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The expression x 4 – (x – z)4 can be factorised as,
x 4 – (x – z)4
= (x 2)2 – {(x – z)2}2
= [x 2 – (x – z)2] [x 2 + (x – z)2] [a 2 – b 2 = (a – b) (a + b)]
= [x – (x – z)] [x + (x – z)] [x 2 + x 2 + z 2 – 2xz]
[a 2 – b 2 = (a – b) (a + b), (a – b)2 = a 2 + b 2 –2ab]
= [x – x + z)] [2x – z] [x 2 + x 2 + z 2 – 2xz]
= z (2x – z) [2x 2 + z 2 – 2xz]
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Please find this answer

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find the factors and multiples of 5

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Huttyg
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x4-(x-z)4 ka answer
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tu pa
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x4-(x-z)4

(x2)2-{[(x-z)2]2}

or, x2-(x-z)2

or, [x-(x-z)][x+(x-z)]

or, (x-x+z)(x+x-z)

or, z(2x-z)

 

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What is answer ?
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Forget means what
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z[2x-z]
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Nahi
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Na karu
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Hello if you life the answer then please add me as your friend.

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Express as directed
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Please help me

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Ex: ax?+?by)2?+ (bx?+?ay)2
= [(ax)2?+ 2(ax)(by) + (by)2] + [(bx)2?+ 2(bx)(ay) + (ay)2]
= (a2x2?+ 2abxy?+?b2y2) + (b2x2?+ 2abxy?+?a2y2)ax?+?by)2?+ (bx?+?ay)2
= [(ax)2?+ 2(ax)(by) + (by)2] + [(bx)2?+ 2(bx)(ay) + (ay)2]
= (a2x2?+ 2abxy?+?b2y2) + (b2x2?+ 2abxy?+?a2y2)
=?a2x2?+?b2x2?+?a2y2?+?b2y2?+ 4abxy
=?x2(a2?+?b2) +?y2(a2?+?b2) + 4abxy
= (x2?+?y2) (a2?+?b2) + 4abxy
=?a2x2?+?b2x2?+?a2y2?+?b2y2?+ 4abxy

=?x2 un x value of 4(a2?+?b2) +?y2(a2?+?b3) + 4abxy

= (x2?+?y2) (a2?+?b2) + 4abxy

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The factorise of x4 in every examples

:4abxy the factorise =is equal 4in every is called closure property
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X4-4x-4z=4z
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x?-(x-Z)?
(X?)? - {(X-Z)?}? [(a?-b?) = (a+b) (a-b)
{ x? + (X-Z)}{X-(X-Z) }
{x? +x-Z} {X-X+Z}
{x?+x-Z} {Z}
Z{x?+X-Z}
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