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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1
:
Equation at the end of step 1
(((8•(m9))•n)-((10•(m6))•n))-((2•3m10)•n)
STEP
2
:
Equation at the end of step
2
:
(((8•(m9))•n)-((2•5m6)•n))-(2•3m10n)
STEP
3
:
Equation at the end of step
3
:
((23m9 • n) - (2•5m6n)) - (2•3m10n)
STEP
4
:
STEP
5
:
Pulling out like terms
5.1 Pull out like factors :
-6m10n + 8m9n - 10m6n = -2m6n • (3m4 - 4m3 + 5)
Polynomial Roots Calculator :