6. Find the sum of 3xsquare- 2x+9 and the quotient of xyz(x + y) y+ z)(z+ x) divided by xy square+ xyz.
Answers
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Explanation:
(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 x3x3.
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 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.(5×x)+(7×y), which is equal to 5x+7y.
(vii) Sum of x and the quotient of y by 5 is x+y5x+y5.
(viii) x taken away from 4 is (4-x).
(ix) 2 less than the quotient of x by y is xy−2xy-2.
(x) x multiplied by itself is x×x=x2x×x=x2.
(xi) Twice x increased by y is (2×x)+y = 2x+y(2×x)+y = 2x+y.
(xii) Thrice x added to y squared is (3×x)+(y×y)=3x+y2(3×x)+(y×y)=3x+y2.
(xiii) x minus twice y is x−(2×y)=x−2yx-(2×y)=x-2y.
(xiv) x cubed less than y cubed is (y×y×y)−(x×x×x)=y3−x3.(y×y×y)-(x×x×x)=y3-x3.
(xv) The quotient of x by 8 is multiplied by y is x8×y=xy8x8×y=xy8.