Question

Which shows a perfect square trinomial?

50 y squared minus 4 x squared
100 minus 36 x squared y squared
16 x squared + 24 x y + 9 y squared
49 x squared minus 70 x y + 10 y squared




What is the product?

(5 r + 2)(3 r minus 4)

15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8




What is the product?

negative 9 x (5 minus 2x)

18 x squared minus 45 x
negative 18 x squared minus 45 x
negative 18 x minus 45 x
18 x minus 45 x



Which will result in a perfect square trinomial?

(3 x minus 5)(3 x minus 5)
(3 x minus 5)(5 minus 3 x)
(3 x minus 5)(3 x + 5)
(3 x minus 5)(negative 3 x minus 5)



Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?

Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.



What is the product?

(6 r minus 1)(negative 8 r minus 3)

negative 48 r squared minus 10 r + 3
negative 48 r squared minus 10 r minus 3
negative 48 r squared + 3
negative 48 r squared minus 3

Answer 1

1) 16 x squared + 24 x y + 9 y squared (it's (4x + 3y)^2)

2) (5r + 2)(3r − 4) = 15 r^2 − 14 r − 8

3) −9x(5 − 2x) = 18 x^2 − 45 x

4) (3x − 5)(3x − 5) (it's (3x − 5)^2)

5) Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
(Correct product: (−4x + 9)^2 = 16x^2 − 72x + 81)

6) (6r − 1)(−8r − 3) = −48 r^2 − 10 r + 3