factorize 64x3 -- 27y3
Answers
Answered by
1
Answer:
Step-by-step explanation:
First, we know that the way to factor difference of cubes is:
a
3
−
b
3
=
(
a
−
b
)
(
a
2
+
a
b
+
b
2
)
Following this, we first know that:
3
√
64
x
3
=
4
x
and
3
√
27
y
3
=
3
y
Based on this, we know that:
a
2
=
(
4
x
)
2
=
16
x
2
and
b
2
=
(
3
y
)
2
=
9
y
2
Lastly, we know that:
a
b
=
(
4
x
)
(
3
y
)
=
12
x
y
Combining all this together, we know that the factored form is:
(
4
x
−
3
y
)
(
16
x
2
+
12
x
y
+
9
y
2
)
Hope this helps!
Answered by
7
Step-by-step explanation:
64x³- 27y³
(4x)³-(3y)³
(4x-3y){(4x)²+4x•3y+(3y)²}
(4x-3y)(16x²+12xy+9y²)
.....666.....
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