Simplifying algebraic expressions

Determine expressions for internal shear and bending moment as a function of $x$ for a beam with two vertical loads.

Rewriting expressions of the form $n\log(a)\pm m\log(b)$ as a single logarithm.

Rewriting $\log_{10}(x)$ in terms of $\log_{10}(a)$ and $\log_{10}(b)$, where $a$, $b$ and $x$ are given.

Simplifying expressions from $\frac{x^mx^n}{x^p}$ to $x^{m+n-p}$. 

Simplifying expressions from $\frac{x^mx^n}{x^p}$ to $x^{m+n-p}$. 

Collecting like terms, expanding a bracket (distributive law), substitution of values, finding factors, simplifying algebraic fractions.

If possible, simplify simple expressions by collecting like terms.

Rearrange expressions in the form $ax^2+bx+c$ to $a(x+b)^2+c$.

Simplifying first is essential in terms of managing expressions that might need factorising.

A question to practice simplifying fractions with the use of factorisation (for binomial and quadratic expressions).

Fiind the Highest Common Factor of two algebraic expressions involving a coefficient and powers of $x$ and $y$.

Simplifying algebraic expressions

Given a random spandrel, find the expressions for the differential elements of area and the coordinates of its centroid needed to determine the location of the centroid by integration. 

Rewriting expressions from $\sqrt[m]{x^n}$ to $x^\frac{n}{m}$.

No description given

No description given

Simlify (expand) logarithmic expressions 

Inputting ratios of algebraic expressions. (Translation to German)

A basic introduction to differentiation

Using BODMAS within mathematical expressions

A basic introduction to differentiation

More work on differentiation with fractional coefficients

A basic introduction to differentiation

More work on differentiation with fractional coefficients

Using BODMAS within mathematical expressions

More work on differentiation with fractional coefficients

A basic introduction to differentiation

A basic introduction to differentiation

More work on differentiation with fractional coefficients