factorize (x-2)(x+2)-5
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Answered by
1
Step-by-step explanation:
(x-2)(x+2)-5
x^2 - 4 - 5
x^2 - 9
x^2 - 3^2
(x+3)(x-3)
ans
Answered by
1
Answer:
factorize (x-2)(x+2)-5
First we expand the
(
x
+
2
)
2
which looks like
(
x
+
2
)
(
x
+
2
)
Next we just multiply it out which will give us
x
2
+
4
x
+
4
Now that we know
(
x
+
2
)
2
=
x
2
+
4
x
+
4
We can do the other part which is
5
(
x
+
2
)
Which is
(
5
x
+
10
)
Now we know
5
(
x
+
2
)
=
(
5
x
+
10
)
Now we can write the problem out expanded
x
2
+
4
x
+
4
−
(
5
x
+
10
)
NOTICE THE NEGATIVE SIGN IN FRONT OF THE PARENTHESES.
We have to distribute this negative to all terms in the parentheses.
Which gives us
x
2
+
4
x
+
4
−
5
x
−
10
Now we just combine like terms
x
2
−
1
x
−
6
Now we need 2 numbers that multiply to
−
6
and add up to
−
1
These numbers are
−
3
and
2
Notice
−
3
⋅
2
=
−
6
And
−
3
+
2
=
−
1
So we then get
(
x
−
3
)
(
x
+
2
)
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