Respuesta :
. x2 - 25: solution . 16x4 - 100 50x2 - 72 . x2 - 25
Here we must first factor out the common factor, if we do not our answer will not be completely factored.
Our common factor is 4, giving us 4(4x4 - 25)
the square root of 4x4 is 2x2, the square root of 25 is 5.
so our answer is 4(2x2 - 5)(2x2 + 5)50x2 - 72Here neither 50x2 nor 72 are perfect squares, but we must first take out the common factor
the common factor is 2, giving us 2(25x2 - 36)
Now both 25x2 and 36 are perfect squares so we have a difference of squares.
The square root of 25x2 is 5x and the square root of 36 is 6.
so our answer is 2(5x - 6)(5x + 6)
HOPE I HELPED
first we check that the binomial is a difference of squares.
x2 is a perfect square, and so is 25, so yes we have a difference of squares.
the square root of x2 is x, and the square root of 25 is 5
so our answer is (x - 5)(x + 5)
16x4 - 100
16x4 is a perfect square, as is 100, so we do have a difference of squaresHere we must first factor out the common factor, if we do not our answer will not be completely factored.
Our common factor is 4, giving us 4(4x4 - 25)
the square root of 4x4 is 2x2, the square root of 25 is 5.
so our answer is 4(2x2 - 5)(2x2 + 5)50x2 - 72Here neither 50x2 nor 72 are perfect squares, but we must first take out the common factor
the common factor is 2, giving us 2(25x2 - 36)
Now both 25x2 and 36 are perfect squares so we have a difference of squares.
The square root of 25x2 is 5x and the square root of 36 is 6.
so our answer is 2(5x - 6)(5x + 6)
HOPE I HELPED
Binomials are expressions with two terms. Three examples of binomials not being a difference of squares are:
- [tex]5^2 + 4^2\\[/tex]
- [tex]9^2 + 10^2[/tex]
- [tex]100^2 + 10^2[/tex]
What are binomials?
Mathematical expressions are mostly terms and addition or subtraction .
Terms are those values which are in multiplication or division.
- If there is one term, the expression will be called monomial.
- If there are two terms, the expression will be called binomial
- If there are three terms, the expression will be called trinomial.
For example, 2+44 has 2 terms, so it is binomial.
Which binomial is difference of squares?
The binomial of the type [tex]a^2 - b^2[/tex] is difference of squares.
The examples of binomials which are not difference of squares are:
- [tex]5^2 + 4^2\\[/tex]
- [tex]9^2 + 10^2[/tex]
- [tex]100^2 + 10^2[/tex]
Learn more about diffidence of squares here:
https://brainly.com/question/4638385