Express each of the following products as a monomial and verify the result in each case for $x = 1$:
$(3x) \times (4x) \times (-5x)$
Given:
$(3x) \times (4x) \times (-5x)$
To do:
We have to express the given product as a monomial and verify the result for $x = 1$:
Solution:
$(3 x) \times(4 x) \times(-5 x) =3 \times 4 \times(-5) \times x \times x \times x$
$=-60 x^{3}$
If $x=1$, then
LHS $=(3 \times 1) \times(4 \times 1) \times(-5 \times 1)$
$=3 \times 4 \times(-5)$
$=-60$
RHS $=-60 x^{3}$
$=-60(1)^{3}$
$=-60 \times 1$
$=-60$
Therefore,
LHS $=$ RHS
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