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

1.	What should be subtracted from 2a + 8b + 10 to get -3a + 7b + 16 ?
Answer» = (2a + 8b + 10) – (-3a + 7b + 16) = 2a + 8b+ 10 + 3a – 7b – 16 = 2a + 3a + 8b – 7b + 10 – 16 (re-arranging the terms) = 5a + b – 6 ∴ (5a + b – 6) should be subtracted from 2a + 8b +10 to get -3a + 7b + 16.

Answer»

= (2a + 8b + 10) – (-3a + 7b + 16)

= 2a + 8b+ 10 + 3a – 7b – 16

= 2a + 3a + 8b – 7b + 10 – 16

(re-arranging the terms)

= 5a + b – 6

∴ (5a + b – 6)

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

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