Question

A) The difference between twice the product of a and b and the quotient of these numbers.

Answer 1

Answer:

(a) 2ab - a/b

(b) c² + d + 2cd

(c) c + c²

(d) Let x be the number that is 1 greater than b, then x = b + 1

Let y be the number twice as large as b, then y = 2b

Then the quotient of x and y is what we want. This is (b + 1)/2b

(e) pq - 3(p + q)

(f) The quotient of n² and n³ + 5, this is

n²/(n³ + 5)

Answer 2

Answer:

a) 2*a*b - a/b

b)  c² + d + 2*c*d

c)  c + c²

d) (1 + b)/(2*b)

e)  p*q - 3*(p+q)

f) n²/(n+5)³

Step-by-step explanation:

We can divide each statement into its parts, as follows:

a) The difference between:

• twice the product of a and b: 2*a*b

• and the quotient of these numbers: a/b

b) The sum of:

• square of c: c²

• and d increased by twice their product.  d+2*c*d

c) The sum of:

• a number c: c

• and its square: c²

d) The quotient of:

• the number that is 1 greater than a number b: 1 + b

• and the number that is twice as large as b: 2*b

e)

• The product of two numbers, p and q: p*q

• decreased by three times their sum: 3*(p+q)

f) The quotient of:

• the square of a number n: n²

• and the cube of n increased by 5: (n+5)³