# Partial Fractions Maths 10 Chapter No 04 Exercise No 4.3 Question No 7 and 8

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Partial Fraction Decompositions and Long Division – In this video, I discuss all of the partial fraction decompositions as well as do an example with long division.
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In this video i will show you the methods and techniques to resolve the fractions into partial factors.
A way of “breaking apart” fractions with polynomials in them.
Like this:

2x−2 + 3x+1 = 2(x+1) + 3(x−2)(x−2)(x + 1)

Which can then be simplified to:

= 2x+2 + 3x−6×2+x−2x−2

= 5x−4×2−x−2

The method is called “Partial Fraction Decomposition”, and goes like this:

Partial Fractions Step 1: Factor the bottom.

Partial Fractions Step 2: Write one partial fraction for each of those factors

Partial Fractions Step 3: Multiply through by the bottom so we no longer have fractions
Step 4: Now find the constants!

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Introduction to partial fraction expansion
You may think that precalculus is simply the course you take before calculus. You would be right, of course, but that definition doesn’t mean anything unless you have some knowledge of what calculus is. Let’s keep it simple, shall we? Calculus is a conceptual framework which provides systematic techniques for solving problems. These problems are appropriately applicable to analytic geometry and algebra. Therefore….precalculus gives you the background for the mathematical concepts, problems, issues and techniques that appear in calculus, including trigonometry, functions, complex numbers, vectors, matrices, and others. There you have it ladies and gentlemen….an introduction to precalculus!

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Please watch: “Theory of Quadratic Equations 10th Maths Ex No 2 .7 Complete Solution”