Question

Diketahui P = 2x + 3, Q= -4 + 7, dan R= 5x-4. Tentukan bentuk - bentuk operasi aljabar berikut ini! a.2P+Q+R. b. P+Q-2R. c. 3P-{2Q-(Q-2R)}.

Answer 1

A) 2P+Q+R
= 2.(2x+3) + (-4x+7)
= 4x+6-4x+7
= 4x-4x+6+7
= 0+13
= 13


b) P+Q-2R
= 2x+3 + (-4x+7) - 2.(5x-4)
= 2x+3-4x+7-10x+8
= 2x-4x-10x+3+7+8
= -12x+18


c) 3P-(2Q-(Q-2R))
= 3.(2x+3) - (2.(-4x+7) - (-4x+7 - 2.(5x-4))
= 6x+9+8x-14-(-4x+7-10x+8))
= 6x+9+8x-14+4x-7+10x-8
= 6x+8x+4x+10x+9-14-7-8
= 28x-29


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