factorise y^3-64 please help
Answers
Answered by
0
Step-by-step explanation:
y
3
−
4
3
=
(
y
−
4
)
(
y
2
+
4
y
+
16
)
Explanation:
y
3
−
64
is a difference of cubes,
a
3
–
b
3
=
(
a
–
b
)
(
a
2
+
a
b
+
b
2
)
, where
a
=
y
and
b
=
4
.
Rewrite the equation.
(
y
)
3
−
(
4
)
3
=
(
y
−
4
)
(
y
2
+
(
y
⋅
4
)
+
4
2
)
Simplify.
y
3
−
4
3
=
(
y
−
4
)
(
y
2
+
4
y
+
16
)
Answer link
Answered by
0
Hey mate here is your answer....
y³-64
y³-4³
(y-4)(y²+4y+4²)
[(√y)²-(2)²](y²+4y+16)
(√y-2)(√y+2)(y²+4y+16)
Hope it helps you ....
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