(5d-7d²t)2

Question

please answer my question becouse this is my homework

Answer 1

Since you're talking about "Binomials Squared," I assume you meant: (5d - 7d²t)²

 

To square a binomial you add the following three things:

 

The square of the first term

The square of the second term

Twice the product of the two terms

 

That's just another way of saying (a + b)² = (a + b) (a + b) = a² + 2ab + b², which is the most basic square of a polynomial and is easy to see, just by multiplying each term in the first parentheses by each term in the second parentheses and collecting the like terms together.

 

In this case, the first term is 5d, so the square of that is (5d)² = 5²d² = 25d²

 

The second term is -7d²t, so the square of that is (-7d²t) = (-7)² (d²)² t² = 49 d⁴ t²

 

Multiply the two together and you get (5d)(-7d²t) = -35 d d² t = -35 d³ t.

 

So the sum is 25d² - 35d³t + 49d⁴t²