Question

Factors of 8x² + 16x⁴y is -----​

Answer 1

Answer:

Factoring: 4x2 - 1

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 : 1 is the square of 1

Check : x2 is the square of x1

Factorization is : (2x + 1) • (2x - 1)

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Answer 2

Answer:

Step-by-step explanation:

Factors of 8x² + 16x⁴y

8x^2 (1+ 2x^2 y)