Square the binomial (x + y). What is the result?
Answers
Answer:
x²+y²+2xy
Step-by-step explanation:
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Answer:
Squaring the binomial (x + y) gives the trinomial x^2 + 2xy + y^2 as the result.
Explanation:
To square the binomial (x + y), we can use the formula:
(a + b)^2 = a^2 + 2ab + b^2
where a = x and b = y.
So, substituting these values, we get:
(x + y)^2 = x^2 + 2xy + y^2
Therefore, squaring the binomial (x + y) gives the trinomial x^2 + 2xy + y^2 as the result.
Factoring is a crucial step that aids in our understanding of our equations. By factoring, we can simplify our polynomials, and when we use the same techniques to solve equations, we can learn a lot of helpful information.
Monomial :- A polynomial with one term is known as Monomial .
Examples :- 3xy , 5x , 6 , 9x³yz etc ..
Binomial :- A polynomial with two terms is known as Binomial.
Examples :- 3zx+ 2yd , a + 3c² etc.
Trinomial :- A polynomial with three terms is known as trinomial.
Examples :- a + b + c, z²-y²+x etc .
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