Show that $$\((2 n-5)^{2}-13\)$$ is a multiple of 4 for all integer values of $$\(n\)$$.

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w21_qp_42 Year:2021 Question No:6(c)

Answer:

\( 4n^{2}−20n+12 \)
\( 4(n^{2}−5n+3) \)
or
correct explanation linked to expression

Knowledge points:

E2.2.2 Use brackets and extract common factors.
E2.2.3 Expand products of algebraic expressions. (e.g. expand (x + 4)(x – 7)) (Includes products of more than two brackets, e.g. (x + 4)(x – 7)(2x + 1))
E2.2.4.1 ax+bx+kay+kby

Solution:

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