Q60 of 100 Page 312

(a) What should be subtracted from 2x3 – 3x2y + 2xy2 + 3y3 to get x3 – 2x2y + 3xy2 + 4y3?

(b) What should be subtracted from –7mn + 2m2 + 3n2 to get m2 + 2mn + n2?

(a) Let’s consider the first term to be A and second term to be B.


According to question


A – x = B


i.e., there is a x which is subtracted from A to get B


So x=A – B


2x3 – 3x2y + 2xy2 + 3y3 - x3 + 2x2y - 3xy2 - 4y3


= x3 – 2x2y + 3xy2 + 4y3


(b) Let’s consider the first term to be A and second term to be B.


According to question


A – x = B


i.e., there is a x which is subtracted from A to get B


So x=A – B


–7mn + 2m2 + 3n2 - m2 - 2mn - n2


= -9mn + m2 + 2n2


More from this chapter

All 100 →
58

Subtract

(a) –7p2qr from – 3p2qr.


(b) –a2 – ab from b2 + ab.


(c) –4x2y – y3 from x3 + 3xy2 – x2y.


(d) x4 + 3x3y3 + 5y4 from 2x4 – x3y3 + 7y4.


(e) ab – bc – ca from – ab + bc + ca.


(f) –2a2 – 2b2 from – a2 – b2 + 2ab.


(g) x3y2 + 3x2y2 – 7xy3 from x4 + y4 + 3x2y2 – xy3.


(h) 2(ab + bc + ca) from –ab – bc – ca.


(i) 4.5x5 –3.4x2+5.7 from 5x4–3.2x2–7.3x.


(j) 11 – 15y2 from y3 – 15y2 – y – 11.

 59

(a) What should be added to x3 + 3x2y + 3xy2 + y3 to get x3 + y3?

(b) What should be added to 3pq + 5p2q2 + p3 to get p3 + 2p2q2 + 4pq?

 61

How much is 21a3 – 17a2 less than 89a3 – 64a2 + 6a + 16?

 62

How much is y4 – 12y2 + y + 14 greater than 17y3 + 34y2 – 51y + 68?