Expand further algebraic expressions
We've learnt a number of techniques for expanding and simplifying algebraic expressions. Being familiar with the addition, subtraction, multiplication and division of algebraic terms, and having experience in expanding binomials, perfect squares and expressions resulting in the difference of two squares, means we can begin to work with some more complicated expressions.
More examples
Question 1
Expand the following and simplify: $3u\left(3u-3v\right)$3u(3u−3v)
Question 2
Expand and simplify the following:
$\left(5m+8\right)\left(m-3\right)$(5m+8)(m−3)
Question 3
Expand and simplify the following expression $\left(x+7\right)\left(x-7\right)-\left(x-3\right)^2$(x+7)(x−7)−(x−3)2
Outcomes
NA6-5
Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns
NA6-6
Generalise the properties of operations with rational numbers, including the properties of exponents
91027
Apply algebraic procedures in solving problems