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What is the completely factored form of x2 – 16xy 64y2? xy(x – 16 64y) xy(x 16 64y) (x – 8y)(x – 8y) (x 8y)(x 8y)
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The complete factored form of the quadratic expression is (x-8y)(x-8y)

Factorizing quadratic expression

Quadratic expressions are expressions that has a leading degree of 2

Given the expression

x^2 – 16xy + 64y^2

Factorize

x^2 - 8xy - 8xy + 64y^2

Group

(x^2 - 8xy) - (8xy + 64y^2)

x(x-8y) - 8y(x - 8y)

Since (x-8y) is common, hence;

x^2 - 8xy - 8xy + 64y^2 = (x-8y)(x-8y)

The complete factored form of the quadratic expression is (x-8y)(x-8y)

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