1. Square of a Binomial
2. Product of the Sum and Difference of Two Terms
3. Square of a Trinomial
4. Cube of a Binomial
5. Product of a Binomial and Trinomial
b. The product of the sum and difference of two terms is a binomial
Clearly the statement stated in a.) is not true
⇒ (x+y)² = x² + 2xy + y² (trinomial)C.
⇒ (x+y)(x²+2xy+y²) ≠ (x²+2xy+y²)(x²+2xy+y²)
⇒ (x+y) ≠ (x²+2xy+y²)D.
⇒ (x-y)³ = x³ - 3x²y + 3xy² - y³
Among the four choices, only b.) holds true
Represent the area of the rectangle that was formed. Do you see any pattern in the product of the sum and difference of two terms?
The area of the rectangle is A = x² - y².Solution:
A = (x + y)(x - y)
A = x² - xy + xy - y²
A = x² - y²Explanation:
The area of the rectangle is equal to the product of its length and width. If the length of the rectangle is represented by x + y and its width is represented by x - y then, A = (x + y)(x - y). Finding the product it will give A = x² - xy + xy - y². After simplifying it will be A = x² - y² which is actually the difference of two squares.Code: 220.127.116.11.1
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