Expand the expression $\left(4x+1\right)\left(5x+3\right)$

Step-by-step Solution

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Final answer to the problem

$20x^2+17x+3$
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Step-by-step Solution

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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1

Multiply the single term $5x+3$ by each term of the polynomial $\left(4x+1\right)$

Learn how to solve special products problems step by step online.

$4x\left(5x+3\right)+5x+3$

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Unlock the first 3 steps of this solution

Learn how to solve special products problems step by step online. Expand the expression (4x+1)(5x+3). Multiply the single term 5x+3 by each term of the polynomial \left(4x+1\right). Multiply the single term 4x by each term of the polynomial \left(5x+3\right). When multiplying two powers that have the same base (x), you can add the exponents. Combining like terms 12x and 5x.

Final answer to the problem

$20x^2+17x+3$

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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

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Function Plot

Plotting: $20x^2+17x+3$

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Answer Assistant

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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

How to improve your answer:

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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