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c^(2) - d^(2) =
(c - d)( c + d) Factored.
NB Two squared terms with a negative(-) between them, factors as above.
However, two squared terms with a positive(+) between them does NOT factor.
.e.g. c^(2) + d^(2) does NOT factor.
Using the Pythgorean Eq'n
h^(2) = a^(2) + b^(2) does NOT factor.
However, rearrganging this eq'n
a^(2) = h^(2) - b^(2) does factor to
a^(2) = (h - b)( h + b)
If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised. If there is no common factor then the polynomial cannot be factorised.
Factor the polynomial x2 - 10x + 25. Enter each factor as a polynomial in descending order.
(x-3)(x+8)
(3x + 4)(3x + 4)
(x - 3)(x - 3)