Question

multiply 3xy² x (-5x²-y)​

Answer 1

1) Multiplication of Two Monomials

Rule:

Product of two monomials = (product of their numerical coefficients) × (product of their variable parts)

Find the product of: (i) 6xy and -3x²y³

Solution:

(6xy) × (-3x²y³)

= {6 × (-3)} × {xy × x²y³}

= -18x1+2 y1+3

= -18x³y⁴.

(ii) 7ab², -4a²b and -5abc

Solution:

(7ab²) × (-4a²b) × (-5abc)

= {7 × (-4) × (-5)} × {ab² × a²b × abc}

= 140 a1+2+1 b2+1+1 c

= 140a⁴b⁴c.

2)

Multiplication of a Polynomial by a Monomial

Rule:

Multiply each term of the polynomial by the monomial, using the distributive law a × (b + c) = a × b + a × c.