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Simplify the expression $f\left(x\right)=\left(3x^3-5x^2+2x-11\right)^3\left(5x^3-x^2+1\right)^2$

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Solution

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Final answer to the problem

$f\left(x\right)=\left(3x^3-5x^2+2x-11\right)^3\left(25x^{6}+x^{4}+1-10x^{5}+10x^3-2x^2\right)$
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Step-by-step Solution

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Learn how to solve square of a trinomial problems step by step online. Simplify the expression f(x)=(3x^3-5x^22x+-11)^3(5x^3-x^2+1)^2. Expand the trinomial using the formula \left(a+b+c\right)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc. Any expression multiplied by 1 is equal to itself. Any expression multiplied by 1 is equal to itself. Multiply 2 times 5.

Final answer to the problem

$f\left(x\right)=\left(3x^3-5x^2+2x-11\right)^3\left(25x^{6}+x^{4}+1-10x^{5}+10x^3-2x^2\right)$

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Function Plot

Plotting: $f\left(x\right)-\left(3x^3-5x^2+2x-11\right)^3\left(5x^3-x^2+1\right)^2$

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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
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

How to improve your answer:

Similar Problems Solved

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$\left(3x-2y+1\right)^2$

$\left(a+b-2c\right)^2$

$\left(x+y-7\right)^2$

Main Topic: Square of a Trinomial

A square trinomial is equal to the square of the first term, plus the square of the second term, plus the square of the third term, plus 2 times first term times second term, plus 2 times first term times third term, plus 2 times second term times third term.

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