What is the formula of
(a-b) 4
Answers
Answered by
76
a4 +4a3b +6a2b2+4ab3+b4×a2-b2 is the formula of (a-b)4
hoped helps..
hoped helps..
Answered by
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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