Find in the missing coefficients and/or exponent in the following expansions, (a+b)^4?

Answer 1

#(a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4#

Site with all sorts of formulas To expand the polynomial manually, you would factor #(a + b)^4# to #((a+b)^2)^2# and then to #(a^2+2ab+b^2)^2# which expands further to #a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4#

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Answer 2

Chloe Alexander

The expansion of $(a+b)^4$ using the binomial theorem is as follows:

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

The coefficients in the expansion are 1, 4, 6, 4, and 1 respectively, corresponding to the powers of $a$ and $b$ in each term.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.