Subtract the second expression from the first expression:6m3 + 4m2 + 7

1.	Subtract the second expression from the first expression:6m3 + 4m2 + 7m – 3, 2m3 + 4
Answer» Let A = 6m³ + 4m² + 7m – 3 and B = 2 m² + 4 A – B = A + (- B) Additive inverse of B is – B = – (2m³ + 4) = – 2m³ – 4 ∴ A – B = A + (- B) = (6m³ + 4m² + 7m – 3) + (- 2m³ – 4) = 6m³ + 4m² + 7m – 3 – 2m³ – 4 = (6m³ – 2m³ ) + 4m² + 7m + (- 3 – 4) = (6 – 2)m³ + 4m² + 7m + (- 7) ∴ A – B = 4m³ + 4m² + 7m – 7

Subtract the second expression from the first expression:6m3 + 4m2 + 7m – 3, 2m3 + 4

Answer»

Let A = 6m³ + 4m² + 7m – 3 and

B = 2 m² + 4

A – B = A + (- B)

Additive inverse of B is

– B = – (2m³ + 4)

= – 2m³ – 4 ∴ A – B = A + (- B)

= (6m³ + 4m² + 7m – 3) + (- 2m³ – 4)

= 6m³ + 4m² + 7m – 3 – 2m³ – 4

= (6m³ – 2m³ ) + 4m² + 7m + (- 3 – 4)

= (6 – 2)m³ + 4m² + 7m + (- 7)

∴ A – B = 4m³ + 4m² + 7m – 7