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Factor the expression $\left(3x-5\right)\left(3x+2\right)\left(9x^2-9x-10\right)$

Step-by-step Solution

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Final Answer

$\left(3x+2\right)^2\left(3x-5\right)^2$
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Step-by-step Solution

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Factor the trinomial $\left(9x^2-9x-10\right)$ of the form $ax^2+bx+c$, first, make the product of $9$ and $-10$

$\left(9\right)\left(-10\right)=-90$

Learn how to solve definition of derivative problems step by step online.

$\left(9\right)\left(-10\right)=-90$

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Learn how to solve definition of derivative problems step by step online. Factor the expression (3x-5)(3x+2)(9x^2-9x+-10). Factor the trinomial \left(9x^2-9x-10\right) of the form ax^2+bx+c, first, make the product of 9 and -10. Now, find two numbers that multiplied give us -90 and add up to -9. Rewrite the original expression. Factor \left(9x^2-15x+6x-10\right) by the greatest common divisor 3.

Final Answer

$\left(3x+2\right)^2\left(3x-5\right)^2$

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SimplifyFactor by completing the squareFind the integralFind the derivativeFind (3x-5)(3x+2) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\left(3x+2\right)^2\left(3x-5\right)^2$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
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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Main Topic: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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