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Multiplication of Any Polynomial

Multiply the ...

Question

Multiply the binomials $(2.5 l - 0.5 m)$ and $(2.5 l + 0.5 m)$

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Solution

$(2.5 l - 0.5 m) \times (2.5 l + 0.5 m)$
$= 2.5 l (2.5 l + 0.5 m) - 0.5 m (2.5 l + 0.5 m)$
$= (2.5)^{2} l^{2} + (2.5) (0.5) l m - (0.5) (2.5) l m - (0.5)^{2} m^{2}$
$= 6.25 l^{2} - 0.25 m^{2}$

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