Question

Simplify and find the value of the following if
a=-2 and b= 3.
(i) -2a + (7b-a + 3a – 3b)
(ii) a - [2b - {a + (b - 2a + b)}]
(iii) 7b-[8a + {b - (4a + 2a - 3b)]
(iv) 3a2- [4b + {3a +(8a-b+ 4a-7b)}]

Answer 1

Answer:

(1). -2(-2)+{7×3-(-2)+3(-2)-3(3)}

4+21+2-6-9

27-15

12

=>Ans:12.

(2). (-2)-[2×3-{-2+(3-2(-2)+3)}]

-2-{6-(-2+10)}

-2-(6-8)

-2-(-2)

-2+2

0

=>Ans:0.

(3). 7×3-[8(-2)+{3-(4(-2)+2(-2)-3×3)}]

21-[-16+{3-(-8-4-9)}]

21-[-16+{3-(-21)}]

21-[-16+{3+21}]

21-[-16+24]

21-8

13

=>Ans:13.

(4). 3×(-2)2-[4×3+{3(-2)+(8(-2)-(3)+4(-2)-7(3))}]

-12-[12+{-6+(-16-3-8-21)}]

-12-[12+{-6-48}]

-12-[12-54]

-12+42

30

=>Ans:30.

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