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1 year ago

P=-4a^2-2ab+9b^2 Q=-7a^2-3ab+5b^2 P-Q

Mathematics

2 answers:

Flura [38]1 year ago

5 0

Answer:

3a² + ab + 4b²

Step-by-step explanation:

P - Q

= - 4a² - 2ab + 9b² - (- 7a² - 3ab + 5b² ) ← distribute parenthesis by - 1

= - 4a² - 2ab + 9b² + 7a² + 3ab - 5b² ← collect like terms

= 3a² + ab + 4b²

photoshop1234 [79]1 year ago

4 0

Answer:

3a² + ab + 4b²

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power.

P - Q = -4a² - 2ab + 9b² - (-7a² - 3ab + 5b²)

To open the brackets, multiply each term of Q by (-1)

= -4a² - 2ab + 9b² + 7a²+ 3ab - 5b²

-4a² and 7a² are like terms.

(-2ab) and 3ab are like terms.

9b² and (-5b²) are like terms.

= -4a² + 7a² -2ab + 3ab + 9b²- 5b²

= 3a² + ab + 4b²

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