625+25x4+x8 find factor
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Step-by-step explanation:
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 : 625 is the square of 25
Check : x8 is the square of x4
Factorization is : (x4 + 25) • (x4 - 25)
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