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Simplify the expression $\frac{4}{\frac{3x^2-8x-16}{2x^2-9x+4}}$

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Solution

Videos

Tutorial - Multiplying rational expressions ex 26, (x^2+3x-4)/((x^2+4x+4) × (2x^2+4x)/(x^2-4x+3)

https://www.youtube.com/watch?v=9hVK2MT8LYM

Tutorial - Simplifying complex fractions ex 37, (16/(x-2) / (4/x+1)+6/x)

https://www.youtube.com/watch?v=5RxBpuDZqK0

Example 5: Adding polynomials with two variables | Algebra I | Khan Academy

https://www.youtube.com/watch?v=jroamh6SIo0

Tutorial - Simplify Expressions Dividing simplify denominator, 7/(4 x 3 - 8)

https://www.youtube.com/watch?v=Mt62UqVlxSc

Tutorial - Simplify Expressions Dividing simplify numerator, (3 x 2 + 4)/2

https://www.youtube.com/watch?v=5JklSCAtMrk

Tutorial - Multiplying rational expressions ex 24, ((x^2-5x+6)/(x^2-4)) × ((x^2+3x+2)/(x^2-2x-3))

https://www.youtube.com/watch?v=IUrAMNFqq4A

Function Plot

Plotting: $\frac{8x^2-36x+16}{3x^2-8x-16}$

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a
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n
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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$5\left(\frac{x^2+3x+5}{2x-1}\right)^4\cdot\frac{2x^2-2x-13}{4x^2-4x+1}$

$\log\left(3\right)\cdot x+\log\left(27\right)\cdot x$

Main Topic: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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