Trying to find the right answer to this..

(i) 2x(3x + 5xy) = 2x x 3x + 2x x 5xy = (2 x 3) X x X x + (2 x 5) X x X xy = 6x 2 + 10x 2 y (ii) a 2 (2ab - 5c) = a 2 x 2ab + a 2 x (-5c) = (a x 2) x a 2 x ab + [1 x (- 5)] x a 2 x c = 2 x a 2 b + (- 5) x a 2 c = 2a 3 b - 5a 2 c

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Algebraic Expressions and Identities

Short Answer Type

41.

Obtain the product of

^{m, -mn, mnp}

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42.
Find the product

(i) 2x(3x + 5xy) (ii) a²(2ab - 5c)

(i) 2x(3x + 5xy) = 2x x 3x + 2x x 5xy

                      = (2 x 3) X x X x + (2 x 5) X x X xy
                      = 6x²+ 10x²y

(ii)     a²(2ab - 5c) = a²x 2ab + a²x (-5c)

                          = (a x 2) x a²x ab + [1 x (- 5)] x a²x c
                           = 2 x a²b + (- 5) x a²c
                           = 2a³b - 5a²c

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43.

Find the product : (4p² + 5p + 7) x 3p

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44.

Carry out the multiplication of the expressions in each of the following pairs
4p, q + r

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45.

Carry out the multiplication of the expressions in each of the following pairs
ab, a - b

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46.

Carry out the multiplication of the expressions in each of the following pairs
a + b, 7a²b²

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47.

Carry out the multiplication of the expressions in each of the following pairs
a² - 9, 4a

144 Views

48.

Carry out the multiplication of the expressions in each of the following pairs
pq + qr + rp, 0

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49.

Complete table.

	First expression	Second expression	Product
(i) (ii) (iii) (iv) (v)	a x + y - 5 p 4p²q²a + b + c	a + c + d 5xy 6p² - 7p + 5 p²- q² abc	.... .... .... .... ....