Multiply the given terms for each part:
a) 4xy and (4x + 2y)
b) $2 x^{2} y and 4 y$
c) $2 {xy}^{2} and 4$
d) 3x and 4xy

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Solution

a) $4 x y \times (4 x + 2 y) = 16 x^{2} y + 8 x y^{2}$
b) $2 x^{2} y \times 4 y = 8 x^{2} y^{2}$
c) $2 x y^{2} \times 4 = 8 x y^{2}$
d) $3 x \times 4 x y = 12 x^{2} y$

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Similar questions

8 x y^{2}

is one of the terms of the resulting expression when we multiply

2 x y^{2}

and

4 x y + 2

Q. Simplify

(2 x y^{2} - x^{2} y^{2}) (3 x + y - 4 x y)

and find the product when

x = - 2 and y = - 1

Identify the like terms in the following:
(i) a² , b², −2a², c², 4a
(ii) 3x, 4xy, -yz,12zy
(iii) −2xy², x²y, 5y²x, x²z
(iv) abc, ab²c, acb², c²ab, b²ac, a²bc, cab²

Q. Multiply : (i)

3 x^{2}

+ 4xy by 2x (ii) – 4a [a + 3b]

4 x y and 8 x^{2}

are like terms.

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Multiply the given terms for each part: a) 4xy and (4x + 2y) b) 2x2y and 4y c) 2xy2 and 4 d) 3x and 4xy

a) 4xy×(4x+2y)=16x2y+8xy2 b) 2x2y×4y=8x2y2 c) 2xy2×4=8xy2 d) 3x×4xy=12x2y

Multiply the given terms for each part:
a) 4xy and (4x + 2y)
b) $2 x^{2} y and 4 y$
c) $2 {xy}^{2} and 4$
d) 3x and 4xy

a) $4 x y \times (4 x + 2 y) = 16 x^{2} y + 8 x y^{2}$
b) $2 x^{2} y \times 4 y = 8 x^{2} y^{2}$
c) $2 x y^{2} \times 4 = 8 x y^{2}$
d) $3 x \times 4 x y = 12 x^{2} y$