Maharashtra State BoardSSC (English Medium) 7th Standard
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Multiplication of Algebraic Expressions - Multiplying a Binomial by a Binomial

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notes

Multiplying a binomial by a binomial:

  • We use the distributive law of multiplication in this case.

  • In the multiplication of polynomials with polynomials, we should always look for like terms, if any, and combine them.

  • Every term in one binomial multiplies every term in the other binomial.

1) Multiply: (x – y) × (3x + 5y)

= x × (3x + 5y) – y × (3x + 5y)

= (x × 3x) + (x × 5y) – (y × 3x) – (y × 5y)

= 3x2 + 5xy – 3yx – 5y2

= 3x2 + 2xy – 5y2.

2) Multiply: (a2 + 2b2) × (5a – 3b)

= a2 (5a – 3b) + 2b2 × (5a – 3b)

= 5a3 – 3b2b + 10ab2 – 6b3.

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