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Simplify the expression $\frac{\left(3x-7\right)\left(3x+5\right)}{2}$

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Solution

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Final answer to the problem

$\frac{9x^2-6x-35}{2}$
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Step-by-step Solution

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1

Multiply the single term $3x+5$ by each term of the polynomial $\left(3x-7\right)$

$\frac{3x\left(3x+5\right)-7\left(3x+5\right)}{2}$

Learn how to solve simplification of algebraic fractions problems step by step online.

$\frac{3x\left(3x+5\right)-7\left(3x+5\right)}{2}$

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Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression ((3x-7)(3x+5))/2. Multiply the single term 3x+5 by each term of the polynomial \left(3x-7\right). Multiply the single term -7 by each term of the polynomial \left(3x+5\right). Multiply 3 times -7. Multiply -7 times 5.

Final answer to the problem

$\frac{9x^2-6x-35}{2}$

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Function Plot

Plotting: $\frac{9x^2-6x-35}{2}$

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a
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f
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m
n
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x
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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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$6x^3y^2\div2y$

Main Topic: Simplification of algebraic fractions

Simplification or reduction of algebraic fractions is the action of dividing the numerator and denominator of a fraction by a common factor in order to obtain another much simpler equivalent fraction. We can say that a fraction is reduced to its simplest when there is no common factor between the numerator and the denominator.

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