Simplify: (8m - 9n)2 + (8m +9n)2
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Answer:
128m² + 162n²
Step-by-step explanation:
( 8m - 9n )²
= ( 8m )² + ( 9n )² - 2 ( 8m ) ( 9n )
= 64m² + 81n² - 144mn
( 8m + 9n )²
= ( 8m )² + ( 9n )² + 2 ( 8m ) ( 9n )
= 64m² + 81n² + 144mn
( 8m - 9n )² + ( 8m + 9n )²
= 64m² + 81n² - 144mn + 64m² + 81n² + 144mn
= 64m² + 64m² + 81n² + 81n² - 144mn + 144mn
= 128m² + 162n² + 0
= 128m² + 162n²
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