Question

(iv)
Simplify the following:
(1) (2x – 3y) (3x + y) + (x + 2y) (x - y).
(0 + 9) (p2 - 0²) + (p - 9) (p2 + 9)
P= 10, a
2.
3
-X + 6
X-1
3
2.
(7abc + b) (7 - bc) + c(263 - 9ab)
x + 4
-X​

Answer 1

Answer:

(i) x increased by 12 is (x+12).

(ii) y decreased by 7 is (y-7).

(iii) The difference of a and b, when a>b is (a-b).

(iv) The product of x and y is xy.

The sum of x and y is (x+y).

So, product of x and y added to their sum is xy+(x+y).

(v) One third of x is x3.

The sum of a and b is (a+b).

∴ One-third of x multiplied by the sum of a and b = x3×(a+b)=x(a+b)3

(vi) 5 times x added to 7 times y = (5×x)+(7×y), which is equal to 5x+7y.

(vii) Sum of x and the quotient of y by 5 is x+y5.

(viii) x taken away from 4 is (4-x).

(ix) 2 less than the quotient of x by y is xy−2.

(x) x multiplied by itself is x×x=x2.

(xi) Twice x increased by y is (2×x)+y = 2x+y.

(xii) Thrice x added to y squared is (3×x)+(y×y)=3x+y2.

(xiii) x minus twice y is x−(2×y)=x−2y.

(xiv) x cubed less than y cubed is (y×y×y)−(x×x×x)=y3−x3.

(xv) The quotient of x by 8 is multiplied by y is x8×y=xy8.