Mathematics
(i) What should be subtracted from x + 2y - 3z to get 3x - 2y + z?
(ii) What should be subtracted from 2x2 - y2 + 4z2 to get x2 + y2 - z2?
(iii) What should be subtracted from 1 + x - x2 to get 2x + x2?
Algebraic Expressions
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Answer
(i) What should be subtracted from x + 2y - 3z to get 3x - 2y + z?
To find what must be subtracted from A to get B, we simply calculate A - B.
∴ Subtract 3x - 2y + z from x + 2y - 3z
∴ The required expression is -2x + 4y - 4z
(ii) What should be subtracted from 2x2 - y2 + 4z2 to get x2 + y2 - z2?
To find what must be subtracted from A to get B, we simply calculate A - B.
∴ Subtract x2 + y2 - z2 from 2x2 - y2 + 4z2
∴ The required expression is x2 - 2y2 + 5z2
(iii) What should be subtracted from 1 + x - x2 to get 2x + x2?
To find what must be subtracted from A to get B, we simply calculate A - B.
∴ Subtract 2x + x2 from 1 + x - x2
Arranging the expressions in ascending powers (starting with the constant) and use 0 as a placeholder for missing terms.
∴ The required expression is 1 - x - 2x2
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Related Questions
Subtract:
(i) 3a - 2b + 4c from 5a - 3b - 5c
(ii) 5x2 - 3xy - 7y2 from 3x2 - xy - 2y2
(iii) 3p3 - 5p2q + 2q2 from q2 + p2q - 4p3
(iv) ab - bc - ca from 3ab + 2bc - 4ca
(v) 3z3 - 2z2 + 7z - 8 from 8 - z - z2
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(iii) Subtract the sum of x2 - 5xy + 2y2 and y2 - 2xy - 3x2 from the sum of 6x2 - 8xy - y2 and 2xy - 2y2 - x2.
(i) What should be added to 7a - 9b + 13c to get 9a + b - c?
(ii) What should be added to 1 + 2x - 3x2 to get x2 - x - 1?
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