Question

2. Add the following algebraic expressions.

a) (a² + 4ab - b²) and (-5a² + ab - 3b²)
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Answer 1

Answer:

(a^2+4ab-b^2)+(-5a^2+ab-3b^2)

=a^2+4ab-b^2-5a^2+ab-3b^2

= -4a^2+5ab-4b^2

Answer 2

Step-by-step explanation:

2. (a² + 4ab - b²) and (-5a² + ab - 3b²)

⇒ (a² + 4ab - b²) + (-5a² + ab - 3b²)

⇒ a² + 4ab - b² - 5a² + ab - 3b²

⇒ a² + 4ab + (-b²) + (-5a²) + ab + (-3b²)

⇒ [a² + (-5a²)] + (4ab + ab) + [-b² + (-3b²)]

⇒ -4a² + 5ab + (-4b)²

⇒ -4a² + 5ab - 4b²

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