# Step-by-step Solution

## Solve the product $\left(x^2-3\right)\left(-3-x^2\right)$

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$-x^{4}+9$

## Step-by-step Solution

Problem to solve:

$\left(x^2-3\right)\left(-3-x^2\right)$

Choose the solving method

1

We can multiply the polynomials $\left(x^2-3\right)\left(-3-x^2\right)$ 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 $(x^2)(-x^2)$
• ($O\times O$) is $(x^2)(-3)$
• ($I\times I$) is $(-3)(-x^2)$
• ($L\times L$) is $(-3)(-3)$

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

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

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

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

Learn how to solve special products problems step by step online. Solve the product (x^2-3)(-3-x^2). We can multiply the polynomials \left(x^2-3\right)\left(-3-x^2\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):<ul><li>(F\times F) is (x^2)(-x^2)</li><li>(O\times O) is (x^2)(-3)</li><li>(I\times I) is (-3)(-x^2)</li><li>(L\times L) is (-3)(-3)</li></ul><p class='exp-text'>Then, combine the four terms in a sum: (F\times F) + (O\times O) + (I\times I) + (L\times L):</p>. Multiply -3 times -1. Multiply -3 times -3. Cancel like terms -3x^2 and 3x^2.

$-x^{4}+9$
SnapXam A2

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1
2
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7
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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

$\left(x^2-3\right)\left(-3-x^2\right)$