Question

Find the sum of
${2a}^{2} + {3b}^{2} + {5a}^{2} - {2b}^{2} + ab + { - 6a}^{2} - 5ab + {b}^{2}$
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Answer 1

Answer:

Step-by-step explanation:

2a²+ 3b² + 5a²- 2b²+ ab + ( -6a²) - 5ab + b²

= [ 2a² + 5a² + ( -6a²) ] + ( 3b²-2b²+ b²) + ( ab - 5ab ) ( ∵like terms adding )

= ( 7a² - 6a²) + ( 4b² - 2b² ) + ( - 4ab )

= a² + 2b² - 4b² is the answer. ( ∵ + × - = - )