Multiplication of Monomial by Binomial

In Multiplication of Monomial by Binomial,monomial means single number and Binomial has two terms.

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
= 3x^{1 + 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
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Practice
1) -4ab(2a² + 5ab)
2) 3x(4y² - x³)
3) -2(a² + 2b²)
4) 2/3(6x² + 9y)
5) -1/2(12x² - 18y²)

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Multiplication of algebraic expressions

• Multiplication of Monomial by Binomial
• Multiplication of Binomial by Binomial
• Multiplication of Polynomial by Monomial
• Multiplication of Polynomial by Binomial


Algebraic Expressions page

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