math
8th Grade - Perfect square trinomials

8th Grade lesson

1 - Perfect square trinomials


Calculation with an variable

Perfect square trinomials are formulas which enable us to go faster when making calculation with a variable x.

Before reading this page, you should master the algebra part in the 7th Grade lesson and know how to do again the examples of the web site.

You know how to develop these expressions :

math
math
math
math
math
math
math


The author (who is nice) hopes that you know your multiplication tables well. If youíre still using your calculator to make 7 times 8, it is really urgent to learn your tables before you go on. You CANíT go on reading this web site if you still need more than 25 seconds in the test in the chapter 'equations' in the 7th Grade syllabus.

If you develop , logically you have : , so :
math

Perfect square trinomials

The first perfect square trinomial enables to suppress the intermediate steps. Indeed, in general :
calcul first perfect square trinomial
The equivalence first perfect square trinomial is the first perfect square trinomials.
You also have : second perfect square trinomial.
The equivalence second perfect square trinomial is the second perfect square trinomials.
Finally : third perfect square trinomial.
The equivalence third perfect square trinomial is the third perfect square trinomials.

The 3 perfect square trinomials which are rewritten on the right side must be known by heart. perfect square trinomial
perfect square trinomial
perfect square trinomial


Using the perfect square trinomials

Here are some examples in which you can use them :

distributive law
distributive law
distributive law
distributive law
distributive law
distributive law

A few other examples a little longer :

distributive law
perfect square trinomial calculation
perfect square trinomial calculation
perfect square trinomial calculation

perfect square trinomial calculation
perfect square trinomial calculation
perfect square trinomial calculation
perfect square trinomial calculation

perfect square trinomial calculation
perfect square trinomial calculation
perfect square trinomial calculation
perfect square trinomial calculation

Maths are just like tennis : to get it, you must train a lot. If you have understood the examples mentioned above (which is good), you must train and make others.


See also : algebra on fmaths.com



>>> Lesson on factorization >>>


Perfect square trinomials

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