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10 results for “expansion”

Formulae (9)

(a+b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k

Expands any power of a binomial into a sum of terms.

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Expands the cube of a binomial expression.

(a+b)(c+d) = ac + ad + bc + bd

Multiply two binomials: First, Outer, Inner, Last.

(a+b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

Expansion of a binomial raised to the third power.

\det = a(ei-fh) - b(di-fg) + c(dh-eg)

Determinant of a 3×3 matrix by cofactor expansion.

\Delta L = \alpha L_0 \Delta T

Length change of a solid when heated.

v = H_0 d

Recession velocity of galaxies with distance.

\Delta L = \alpha L_0 \Delta T

Change in length due to temperature change.

\Delta L = \alpha L_0 \Delta T

Change in length due to temperature change.

Multiply two binomials by combining First, Outer, Inner, Last terms.