Which polynomial is a perfect square trinomial?

9x2 − 12x + 4

36b2 − 24b + 16

16x2 − 24x − 9

4a2 − 10a − 25

Which polynomial is a difference of two squares?

x2 + 25

x2 − 25

x2 − 10

x2 + 10

Question

Which polynomial is a perfect square trinomial?

 9x2 − 12x + 4

 36b2 − 24b + 16

 16x2 − 24x − 9

 4a2 − 10a − 25




Which polynomial is a difference of two squares?

 x2 + 25

 x2 − 25

 x2 − 10

 x2 + 10

jigglypuff314 · Answer

the formats of:
a perfect square trinomial: a^2 - 2ab + b^2
difference of two squares: x^2 - y^2

anonymous · Answer

the second i got x2+10

jigglypuff314 · Answer

no because 10 is not a square of a number, nor is x^2+10 a "difference" meaning subtraction

anonymous · Answer

ohhh but 25 is nd difference means subtraction so x2-25?

jigglypuff314 · Answer

yes :)

anonymous · Answer

and the first one is b case 36 is a perfect square?

jigglypuff314 · Answer

no because square of 36 is 6 and square of 16 is 4 but 2*6*4 does not equal 24

anonymous · Answer

is it A? cause they are all perfect squares

jigglypuff314 · Answer

yes the answer is A, but not because they are all perfect squares. 12 is not a perfect square.
the answer is A because square of 9 is 3, square of 4 is 2, middle number should then equal 2*3*2, which works :)

anonymous · Answer

oh wow i understand now

jigglypuff314 · Answer

glad I could help :)