Multiply: 12a + 5b by 7a − B

Multiply: 12a + 5b by 7a − b

Sum

(12a + 5b) (7a − b) = 12a (7a − b) + 5b (7a − b)

= 84a² − 12ab + 35ab − 5b²

= 84a² + 23ab − 5b²

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Chapter 11: Algebraic Expressions - Exercise 11 (C) [Page 143]

Chapter 11 Algebraic Expressions
Exercise 11 (C) | Q 1.09 | Page 143

Find the product of the following pair of monomial.

4, 7p

Find the product of the following pair of monomial.

− 4p, 7p

Find the areas of rectangles with the following pairs of monomials as their lengths and breadths, respectively.

(p, q); (10m, 5n); (20x², 5y²); (4x, 3x²); (3mn, 4np)

Express each of the following product as a monomials and verify the result for x = 1, y = 2:
(−xy³) × (yx³) × (xy)

Multiply: x + 4 by x − 5

Multiply: x²+ x + 1 by 1 − x

Multiply: `-2/3"a"^7"b"^2` and `-9/4"a""b"^5`

Three consecutive integers, when taken in increasing order and multiplied by 2, 3 and 4 respectively, total up to 74. Find the three numbers.

Product of the following monomials 4p, –7q³, –7pq is ______.

Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is ______.