Subtract 2 x -9 z -2 xy from the sum of 9 x -7 xy -12 y -6 z and 6 x -12 y -3 zA- 13 x-7 x y-5 zB- 13 x-5 x y-6 y-3 zC- 13 x-5 x yD- 13 x-7 x y-2 y

The correct option is C 13x 5xySum = (9x 7xy + 12y + 6z) + (6x 12y + 3z) nbsp; Combining the like terms, (9x + 6x) + (12y 12y) + (6z + 3z) 7xy = 15 ...

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Byju's Answer

Standard VII

Mathematics

Subtraction of Algebraic Expression

Subtract 2 x ...

Question

Subtract $2 x + 9 z - 2 x y$ from the sum of $9 x - 7 x y + 12 y + 6 z$ and $6 x - 12 y + 3 z$ .

13x - 7xy + 2y

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13x - 7xy + 5z

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13x - 5xy + 6y + 3z

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13x - 5xy

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Solution

The correct option is D 13x - 5xy
Sum = (9x - 7xy + 12y + 6z) + (6x - 12y + 3z)
Combining the like terms,
(9x + 6x) + (12y - 12y) + (6z + 3z) - 7xy
= 15x + 9z - 7xy

Subtracting (2x + 9z - 2xy) from (15x + 9z - 7xy ),
= (15x + 9z - 7xy ) - (2x + 9z - 2xy)
= 15x + 9z - 7xy - 2x - 9z +2xy
= (15x - 2x) + (9z - 9z) + (2xy - 7xy)
= 13x - 5xy

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Subtract 2x+9z−2xy from the sum of 9x−7xy+12y+6z and 6x−12y+3z.

Subtract $2 x + 9 z - 2 x y$ from the sum of $9 x - 7 x y + 12 y + 6 z$ and $6 x - 12 y + 3 z$ .