Multiplication of Polynomial by Binomial
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In this section we will discuss Multiplication of Polynomial by Binomial.
Here also we will use a distributive property.
1) (a2 + ab + b2)(a - b)
+ ab + b2
)(a - b)
Use a distributive property.
(a - b) + ab( a - b) + b2
(a - b)
a - a2.
b + ab.
a - ab.
b + b2 .
a - b2 .
= a3 - a2b + a2b- ab2 + ab2
[ Add like terms]
2) (1 - 4x)( 1 + x + x2)
(1 - 4x)( 1 + x + x2
= 1( 1 + x + x2
) - 4x ( 1 + x + x2
= 1 + 1.x + 1.x2
- 4x .1 - 4x.x - 4x.x2
= 1 + x + x2
- 4x - 4x2
[ Bring the like terms together]
= 1 + x - 4x + x2
= 1 - 3x -3x2
[ Add like terms]
= - 4x3
-3x + 1 [ arranging in descending order of exponents]
3) (a2 - b2) ( 4a3 - b3)
) ( 4a3
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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