Question

(x + 4)×(x + 1) - (x - 1)×(x - 2)

Answer 1

Answer:

8x + 2

Step-by-step explanation:

Given : [(x + 4)(x + 1)] - [(x - 1)(x - 2)]

On further solving, we get

→ [x(x + 1) + 4(x + 1)] - [x(x - 2) - 1(x - 2)]

→ [x(x) + x(1) + 4(x) + 4(1)] - [x(x) + x(- 2) - 1(x) - 1(- 2)]

→ [x² + x + 4x + 4] - [x² - 2x - x + 2]

• Adding the common terms together.

→ [x² + x + 4x + 4] - [x² - 2x - x + 2]

→ [x² + 5x + 4] - [x² - 3x + 2]

• Opening the brackets.

While opening the brackets, if there is negative (-) sign outside the bracket, then the sign of numbers inside the bracket will change and if there is positive sign (+) outside the bracket, then there will be no change in the sign of the numbers inside the bracket.

→ x² + 5x + 4 - x² + 3x - 2

• Writing the common terms together.

→ x² - x² + 5x + 3x + 4 - 2

→ (x² - x²) + (5x + 3x) + (4 - 2)

→ (0) + (8x) + (2)

→ 0 + 8x + 2

→ 8x + 2