Question

(5/8x+y^5)(y^5- 5/8x) write the expression as a polynomial

100 points for this

Answer 1

y^10 + (5/8xy^5 - 5/8xy^6) - (25/64x^2)

Explanation:

To simplify the given expression, we can expand it using the distributive property:

(5/8x + y^5)(y^5 - 5/8x)

Expanding the expression yields:

= (5/8x * y^5) + (5/8x * -5/8x) + (y^5 * y^5) + (y^5 * -5/8x)

= (5/8xy^5) - (25/64x^2) + y^10 - (5/8xy^6)

Combining like terms, we have:

= y^10 + (5/8xy^5 - 5/8xy^6) - (25/64x^2)

Hope this help! Have a good day!

Answer 2

We can start by using the distributive property of multiplication to expand the given expression:

(5/8x + y^5)(y^5 - 5/8x) = (5/8x) * (y^5) - (5/8x) * (5/8x) + (y^5) * (y^5) - (y^5) * (5/8x)

Simplifying further, we get:

(5/8)x*y^5 - (25/64)x^2 + y^10 - (5/8)x*y^5

Notice that the first and last terms cancel out, leaving us with:

y^10 - (25/64)x^2

Thus, the expanded expression can be simplified to the polynomial:

y^10 - (25/64)x^2