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

The product of two binomials of the form $(x+a)(x+b)$ is equal to the product of the first terms of the binomials, plus the algebraic sum of the second terms by the common term of the binomials, plus the product of the second terms of the binomials. In other words: $(x+a)(x+b)=x^2+(a+b)x+ab$

$x^2+x\left(1-4\right)+1\cdot -4$
2

Subtract the values $1$ and $-4$

$x^2-3x+1\cdot -4$
3

Multiply $1$ times $-4$

$x^2-3x-4$

Final Answer

$x^2-3x-4$
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Got another answer? Verify it!

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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:

~ 0.03 s