Multiply these binomials. (2.5l-0.5 m) and (2.5 l+0.5 m)

Question

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

✓

Answer

We have, $(2.5 l-0.5 m)$ and $(2.5 l+0.5 m)$
According to the question,
$(2.5 l-0.5 m) \times(2.5 l+0.5 m)$
$=(2.5 l) \times(2.5 l+0.5 m)-0.5 m(2.5 l+0.5 m)$
$=(2.5 l \times 2.5 l) +(2.5 l \times 0.5 m) -(0.5 m \times 2.5 l)-(0.5 m \times 0.5 m)$
$=6.25 l^2+1.25 l m-1.25 l m-0.25 m^2$
$=6.25 l^2-0.25 m^2 \quad \text { [adding like terms] }$

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