The polynomial is .
Find the factors.
\ (Original equation)
(Subtract
from each side)
(Apply additive inverse property:
)
(Simplify)
Here, and
.
Factor of ![]() | \
Sum of ![]() | \
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(Write the pattern)
(Substitute
and
)
(Group terms with common factors)
(Factor the G.C.F)
(Distributive property:
)
or
(Apply zero productive property)
or
(Simplify)
Solutions are or
.
Check solution for -values.
Case (i):
\ (Original equation)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Subtract:
)
Case (ii):
\ (Original equation)
(Substitute
)
(Evaluate powers:
)
(Multiply)
(Subtract:
)
\
Solutions are or
.