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Expand the expression $x\left(x-1\right)\left(x-2\right)\left(x-3\right)+6x\left(x-1\right)\left(x-2\right)+9x\left(x-1\right)+3x$

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Solution

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Final answer to the problem

$x^{4}+2x^2$
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Step-by-step Solution

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Multiply the single term $x\left(x-2\right)\left(x-3\right)$ by each term of the polynomial $\left(x-1\right)$

$x\cdot x\left(x-2\right)\left(x-3\right)-x\left(x-2\right)\left(x-3\right)+6x\left(x-1\right)\left(x-2\right)+9x\left(x-1\right)+3x$

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$x\cdot x\left(x-2\right)\left(x-3\right)-x\left(x-2\right)\left(x-3\right)+6x\left(x-1\right)\left(x-2\right)+9x\left(x-1\right)+3x$

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Learn how to solve differential calculus problems step by step online. Expand the expression x(x-1)(x-2)(x-3)+6x(x-1)(x-2)9x(x-1)3x. Multiply the single term x\left(x-2\right)\left(x-3\right) by each term of the polynomial \left(x-1\right). When multiplying two powers that have the same base (x), you can add the exponents. Multiply the single term x^2\left(x-3\right) by each term of the polynomial \left(x-2\right). When multiplying exponents with same base you can add the exponents: x\cdot x^2\left(x-3\right).

Final answer to the problem

$x^{4}+2x^2$

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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

Product of Binomials with Common TermFOIL MethodFactorFind the derivativeFind the integral

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Function Plot

Plotting: $x^{4}+2x^2$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻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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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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