Math, asked by suryakarthik160, 1 year ago

What is the formula of
(a-b) 4

Answers

Answered by Anonymous
76
a4 +4a3b +6a2b2+4ab3+b4×a2-b2 is the formula of (a-b)4

hoped helps..
Answered by bestanswers
64

Answer:

Formula for (a-b) ^4

Step-by-step explanation:

Let us see the simple expansion for (a-b) ^ 2

We get,  (a-b)^2 = a^2 – 2ab + b^2.

Now taking ((a – b )^2)^2, we get, {(a-b)^2} {(a-b)^2}

(a^2 – 2ab +b^2) (a^2 – 2ab + b^2)

By expanding this we get,

a^2( a^2 – 2ab +b^2) -2ab (a^2 -2ab +b^2) + b^2(a^2 – 2ab + b^2)

a^4 - 2a^3b + a^2b^2 – 2a^3b + 4a^2b^2 – 2ab^3 + a^2b^2 – 2ab^3 + b^4

collecting like terms….. we get,

a^4 + b^4 – 2a^3b – 2a^3b + a^2b^2 + 4a^2b^2 – 2ab^3 – 2ab^3

a^4 + b^4 -4a^3b +5 a^2b^2 -4ab^3.

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