Question

3. Simplify the expressions and find the value of the following when m=-3, n=2.
a)m+5[n–3]+4
b)19–18m–3n
c)m³–3[4–n²]
d)5[3m+10]+2n+14​

Answer 1

Answer:

a) m+5[n-3]+4.

m+5n-15+4. (Because +×-=-).

m=-3 & n=2.

(-3)+5(2)-15+4.

-3+10-15+4.

7-15+4. (Because -×+=- & largest number is important).

-8+4. (Because +×-=- & largest number is important).

-4. (Because -×+=- & largest number is important).

b) 19-18m-3n.

m=-3 & n=2.

19-18(-3)-3(2).

19+54-6. (Because -×-=+).

73-6.

67. (Because +×-=- & largest number is important).

c) m³-3[4-n²].

m³-12+3n². (Because -×-=+).

m=-3 & n=2.

(-3)³-12+3(2)².

-27-12+3(4).

-27-12+12.

-27. ((Because -×+=- so, -12+12 will cancel).

d) 5[3m+10]+2n+14.

15m+50+2n+14.

m=-3 & n=2.

15(-3)+50+2(2)+14.

-45+50+4+14.

5+4+14. (Because -×+=- & largest number is important).

9+14.

23.

I think this is your answer.

Answer 2

HEY MATE THE ANSWERS FOR YOUR QUESTIONS ARE :

$a= ) - 4$

$b = )67$

$c = ) - 27$

$d = )23$

THE SOLVING STEPS ARE :

A=)

A =)

$- 3 + 5(2 - 3) + 4$

$- 3 + 5 \times ( - 1) + 4$

$- 3 - 5 + 4$

$- 4$

B =)

$19 - 18 \times ( - 3) - 3 \times 2$

$19 + 54 - 6$

$67$

C =)

$- 3 ^{3} - 3(4 - 2 ^{2} )$

$- 3 ^{3} - 3(4 - 4)$

$- 3 ^{3} - 3 \times 0$

$- 3 ^{3} - 0$

$- 27$

D =)

$5(3 \times ( - 3) + 10) + 2 \times 2 + 14$

$5( - 9 + 10) + 4 + 14$

$5 \times 1 + 4 + 14$

$5 + 4 + 14$

$23$

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