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Multiplication of Any Polynomial

Multiply 2....

Question

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

A

2.25 l^{2} - 0.25 m^{2}

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B

2.25 l^{2} - 0.05 m^{2}

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C

6.25 l^{2} - 0.25 m^{2}

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D

2.25 l^{2} - 0.5 m^{2}

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Solution

The correct option is C $6.25 l^{2} - 0.25 m^{2}$
$(2.5 l - 0.5 m) \times (2.5 l + 0.5 m)$
$= 2.5 l (2.5 l + 0.5 m) - 0.5 m (2.5 l + 0.5 m)$
$= 6.25 l^{2} + 1.25 l m - 1.25 l m - 0.25 m^{2}$
$= 6.25 l^{2} - 0.25 m^{2}$

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