Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial:
−25a^2−1+10a
-(25a^2 - 10a + 1)
since 10 = 2*5, that indicates
-(5a-1)^2
To write the trinomial −25a^2−1+10a as a square of a binomial or as an expression opposite to a square of a binomial, we can complete the square.
First, let's focus on the quadratic term, which is −25a^2. To find the square of a binomial, we take the coefficient of the quadratic term, divide it by 2, and square it. In this case, we have (−25/2)^2 = 625/4.
Now, to write the quadratic term as a square of a binomial, we can rewrite it as (5a)^2. However, we need to make sure to account for the 625/4.
So, the expression −25a^2−1+10a can be written as:
−25a^2−1+10a
= (5a)^2 − 1 + 10a
= (5a)^2 + 10a - 1
Therefore, the trinomial can be written as the square of a binomial (5a)^2 or as an expression opposite to a square of a binomial: (5a)^2 - 1 + 10a.
its possible and idk the answer but the first term is wrong so its ( ____a-3b)^2
the __ is were the other term is
-25 a^2 + 10 a - 1 ?
well, we need -5 a times +5a
(-5a *****) (5a ****
we need -1 and +1
(-5a -1)(5a +1) or (-5a +1)(5a -1)
the second one gives us that +10 a