Step-by-step Solution

Solve the product $\left(x+1\right)\left(x-4\right)$

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Final Answer

$x^2-3x-4$
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Step-by-step Solution

Problem to solve:

$\left(x+1\right)\left(x-4\right)$

Choose the solving method

1

We can multiply the polynomials $\left(x+1\right)\left(x-4\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$):

  • ($F\times F$) is $(x)(x)$
  • ($O\times O$) is $(x)(-4)$
  • ($I\times I$) is $(1)(x)$
  • ($L\times L$) is $(1)(-4)$

Then, combine the four terms in a sum: $(F\times F) + (O\times O) + (I\times I) + (L\times L)$:

$x\cdot x-4x+1x+1\cdot -4$
2

Multiply $1$ times $-4$

$x\cdot x-4x+1x-4$
3

Any expression multiplied by $1$ is equal to itself

$x\cdot x-4x+x-4$
4

Combining like terms $-4x$ and $x$

$x\cdot x-3x-4$
5

When multiplying two powers that have the same base ($x$), you can add the exponents

$x^2-3x-4$

Final Answer

$x^2-3x-4$
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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

Tips on how to improve your answer:

$\left(x+1\right)\left(x-4\right)$

Main topic:

Special products

Time to solve it:

~ 0.04 s