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12. Algebraic Expressions
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Q4 of 30 Page 239

What should be added to x2+xy+y2 to obtain 2x2+3xy ?

Let k should be added


x2 + xy + y2 + k = 2x2 + 3xy


k = 2x2 + 3xy - x2 - xy - y2 = x2 + 2xy - y2


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2

Add:

(i) 3mn, -5mn, 8mn -4mn


(ii) t - 8tz, 3tz – z, z - t


(iii) -7mn + 5, 12mn + 2, 9mn – 8, -2mn -3


(iv) a + b -3, b - a + 3, a - b + 3


(v) 14x + 10y - 12xy – 13, 18 - 7x - 10y + 8xy,4xy


(vi) 5m - 7n, 3n - 4m + 2, 2m - 3mn -5


(vii) 4x2y, -3xy2, -5xy2, 5x2y


(viii) 3p2q2 - 4pq + 5, -10p2q2, 15 + 9pq + 7p2q2


(ix) ab - 4a, 4b – ab, 4a - 4b


(x) x2 - y2 – 1, y2 - 1 - x2, 1 - x2 - y2

3

Subtract:

(i) -5y2 – from y2


(ii) 6xyfrom -12xy


(iii) (a - b) from (a + b)


(iv) a(b - 5) from b(5 - a)


(v) -m2 + 5mn from 4m2 – 3mn + 8


(vi) -x2 + 10x – 5 from 5x -10 x2


(vii) 5a2 - 7ab + 5b2 from 3ab – 2a2 -2b2


(viii) 4pq - 5q2 - 3p2 from 5p2 + 3q2 - pq

4

What should be subtracted from 2a+8b+10 to get -3a+7b+16?

5

What should be taken away form 3x2 - 4y2 + 5xy + 20 to obtain -x2 - y2 + 6xy + 20?

Questions · 30
12. Algebraic Expressions
1 2 2 3 4 4 5 6 7 1 2 3 4 4 5 6 6 1 2 3 4 5 6 7 8 9 10 11 1 2
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