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Mathematics

Add:

(a) 2x, 5x

(b) 7p, −2p

(c) 2a + 4b, 9a + 10b

(d) 2xy, 3yx

(e) 23x,2x\dfrac{2}{3}x, 2x

Algebra Basics

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Answer

(a) 2x + 5x = (2 + 5)x = 7x.

(b) 7p + (−2p) = (7 − 2)p = 5p.

(c) (2a + 4b) + (9a + 10b)

= (2a + 9a) + (4b + 10b)

= 11a + 14b.

(d) 2xy + 3yx = 2xy + 3xy = (2 + 3)xy = 5xy.

(e) 23x+2x=2x+6x3=83x\dfrac{2}{3}x + 2x = \dfrac{2x + 6x}{3} = \dfrac{8}{3}x

Hence, the sum is 83x\dfrac{8}{3}x.

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