# Expand and Simplify Binomial Expressions

## Transcript

Start with a you go, a times b and a times c but we also have to do the same thing for d so we do d times b and we also do d times c so we do a times b so it looks like this I’ll rub this off.

So basically you do a times b and c so there’s basically this whole bracket so I did a times b plus c and then you do d times b plus c so see how I did d times b plus c so now you go ahead and expand it out so then you do a times b and a times c and then d times b and b times c like you always do so ab, ac plus db or bd because I like to keep it in that alphabetical order and then dc but cd rather, so a times this whole bracket and three times this whole bracket okay

So if I separate it, it looks like this times that bracket plus three times that bracket okay, and then you do your normal thing times a, times negative two so that’s a squared a time a is a squared a times negative 2 is negative 2a and then 3 times a, 3 times negative 2.

So 3a minus 6. Make sure it’s a negative 6 because positive negative makes a negative okay so again be careful with the signs now are there like terms guys can we gather anything up together?

Yes we can look at these we’ve got a negative 2a and we’ve got a 3a, a is common so that’s going to be my like terms so we have a squared minus 2a plus 3a is just positive a, and then we have minus 6 at the end because that’s we can’t we don’t have any more like terms other than the right so what I would do is multiply the 2a with the big bracket and the 5 with the bracket so if I separate it out I get 2a times a minus 1 plus 5 times a minus 1 and expand it out so 2a times a is 2a squared, 2a times negative 1, negative 2a and here 5a minus 5 Okay?

And then gather up your like terms the only like terms I have are these the ones with the so 2a squared remains minus 2a plus 5a is positive 3a and then we stick the negative 5 at the end and that’s it

**✓ **Unlock your full learning potential—download our expertly crafted slide files for free and transform your self-study sessions!

**✓ **Discover more enlightening videos by visiting our YouTube channel!

Algebra Algebraic Fractions Arc Binomial Expansion Capacity Common Difference Common Ratio Differentiation Double-Angle Formula Equation Exponent Exponential Function Factorise Functions Geometric Sequence Geometric Series Index Laws Inequality Integration Kinematics Length Conversion Logarithm Logarithmic Functions Mass Conversion Mathematical Induction Measurement Perfect Square Perimeter Prime Factorisation Probability Product Rule Proof Pythagoras Theorem Quadratic Quadratic Factorise Ratio Rational Functions Sequence Sketching Graphs Surds Time Transformation Trigonometric Functions Trigonometric Properties Volume

## Responses