Question

what is the product of monomial and a binomial

Answer 1

binomial
I hope it helps u


For solving this multiplication use the following steps:

1) Monomial is outside the parenthesis (bracket).
2) Binomial is inside the parenthesis.
3) Use a distributive property to open the parenthesis.
4) Distributive property ---> Multiply each term of the parenthesis by the monomial keeping the addition or subtraction sign same.

Examples :

1) Multiply : 3x(x + 4)

Solution : 
As 3x is outside the parenthesis, multiply x and 4 by 3x 
3x(x + 4) = 3x . x + 3x . 4 
= 3x1 + 1 + 12x
= 3x2 + 12x 

2) Multiply : 4x2y3 (3x2y2 - 2xy)

Solution : 
4x2y3 (3x2y2 - 2xy)
= 4x2y3. 3x2y2 - 4x2y3. 2xy
= 12x4y5 - 8x3y4

3) Multiply : -2xy (x2y - 4x)

Solution :
-2xy (x2y - 4x)
= -2xy . x2 + 2xy . 4x
= -2x3y2 + 8x2y

4) Multiply : 3ab(a2b - ab2)

Solution :
3ab(a2b - ab2) 
= 3ab .a2b - 3ab . ab2
= 3a3b2 - 3a2b3

Answer 2

the product of monomial and a binomial is binomial