Simplify : (3y + 4z) (3y – 4z) + (2y + 7z) (Y + Z) - Mathematics

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Sum

Simplify : (3y + 4z) (3y – 4z) + (2y + 7z) (y + z)

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Solution

(3y + 4z) (3y – 4z) + (2y + 7z) (y + z)

= 3y (3y – 4z) + 4z (3y – 4z) + 2y (y + z) (y + z)

= 9y2 – 12yz + 12yz – 16z2 + 2y2 + 2yz + 7yz + 7z2

= (9+2)y2 + (–12 + 12 + 2 + 7)yz + (–16 + 7)z2

= 11y2 + 9yz – 9z2

Concept: Multiplying a Polynomial by a Polynomial
  Is there an error in this question or solution?
Chapter 11: Algebraic Expressions - Exercise 11 (C) [Page 143]

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Selina Concise Mathematics Class 8 ICSE
Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 3.5 | Page 143
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