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Gingersnap
Mathematics
12 September, 23:03
Can you factor 4c^8 + 9d^2
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12 September, 23:12
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4c2-9d2 Final result : (2c + 3d) • (2c - 3d) Step by step solution : Step 1 : Skip Ad
Equation at the end of step 1 : (4 • (c2)) - 32d2 Step 2 : Equation at the end of step 2 : 22c2 - 32d2 Step 3 : Trying to factor as a Difference of Squares:
3.1 Factoring: 4c2-9d2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : c2 is the square of c1
Check : d2 is the square of d1
Factorization is : (2c + 3d) • (2c - 3d)
Final result : (2c + 3d) • (2c - 3d)
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