Question

Express the following product as a monomial and verify the result in case for x = 1.
(x²)³ × (2x) × (−4x) × (5).

Answer 1

(x²)³ × (2x) × (−4x) × (5).
$=x^6\times \left(2x\right)\times (-4x)\times \left(5\right)=(2\times -4\times 5)\times x^6\times x\times x=-40x^8$
Now for x = 1 we get,
LHS = (1²)³ × (2(1)) × (−4(1)) × (5)
= 1 × 2 × −4 × 5 = −40
Now, RHS = −40$\times (1{)}^8$
= − 40.
Verified.