Find the products:2a2b × (-5)ab2c × (-6)bc2

1.	Find the products:2a2b × (-5)ab2c × (-6)bc2
Answer» 2a²b × (-5)ab²c × (-6)bc² The coefficient of the product of two monomials is equal to the product of their coefficients. The variable part in the product of two monomials is equal to the product of the variables in the given monomials. Then, = [(2) × (-5) × (-6)] × (a²× a) × (b × b²× b) × (c × c²) = [60] × (a²⁺¹) × (b¹⁺²⁺¹) × (c¹⁺²) … [∵ a^m × aⁿ = a^m+n] = [60] × (a³) × (b⁴) × (c³) = [60]a³b⁴c³

Answer»

2a²b × (-5)ab²c × (-6)bc²

The coefficient of the product of two monomials is equal to the product of their coefficients.

The variable part in the product of two monomials is equal to the product of the variables in the given monomials.

Then,

= [(2) × (-5) × (-6)] × (a²× a) × (b × b²× b) × (c × c²)

= [60] × (a²⁺¹) × (b¹⁺²⁺¹) × (c¹⁺²) … [∵ a^m × aⁿ = a^m+n]

= [60] × (a³) × (b⁴) × (c³)

= [60]a³b⁴c³

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