Solve the following . ( 13x2+12xy-11y )+( 17y2+14xy-13x2 )
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Given : (13x²+12xy-11y)+(17y²+14xy-13x²)
To Find : Evaluate the expression
Solution:
Like terms are the terms whose variables and their exponents are the same.
(13x²+12xy-11y)+(17y²+14xy-13x²)
Combine like term
= 13x² - 13x² + 12xy + 14xy - 11y + 17y²
= 0 + 26xy - 11y + 17y²
= 26xy - 11y + 17y²
= y (26x - 11 + 17y)
= y(26x + 17y - 11)
= 26xy + 17y² - 11y
(13x²+12xy-11y)+(17y²+14xy-13x²) = 26xy + 17y² - 11y
or y(26x + 17y - 11)
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