Question

Представьте в виде многочлена (8х+у)(у-8х)=

Answer 1

8xy -64x^2+y^2-8xy 8ху и (-8ху) взаимно уничтожаются,остается У^2-64х^2

Answer 2

Multiplying the Polynomials

To represent the expression (8x + y)(y - 8x) as a polynomial, we can use the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b and a and c.

Applying this property to the given expression, we can expand it as follows:

(8x + y)(y - 8x) = 8x(y) + 8x(-8x) + y(y) + y(-8x)

Simplifying further, we have:

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

Combining like terms, we get:

-64x^2 + y^2

Therefore, the expression (8x + y)(y - 8x) can be represented as the polynomial -64x^2 + y^2.

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