Factorise: 14x^6– 45x^3y^3-14y^6
Answers
Answered by
6
Answer:
14x^6 - 45x^3y^3 - 14y^6
= 14x^6 - 49x^3y^3 + 4x^3y^3 - 14y^6
= 7x^3(2x^3 - 7y^3) + 2y^3(2x^3 - 7y^3)
= (2x^3 - 7y^3)(7x^3 + 2y^3)
Answered by
0
Answer:
By using substitution...
a
=
x
3
and
b
=
y
3
14
x
6
−
45
x
3
y
3
−
14
y
6
=
14
a
2
−
45
a
b
−
14
b
2
=
7
⋅
2
⋅
a
2
−
7
⋅
7
a
b
+
2
⋅
2
⋅
a
b
−
7
⋅
2
⋅
b
2
=
(
2
a
−
7
b
)
(
7
a
+
2
b
)
=
(
2
x
3
−
7
y
3
)
(
7
x
3
+
2
y
3
)
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