15 points
find the product. (6g – 5h)2

(a) 36g2 – 25gh + 25h2

(b) 36g2 – 60gh + 25h2

(c) 36g2 – 60gh – 25h2

(d) 36g2 + 25h2

36 g^2 + -60 g h + 25 h^2  thus: B

Step-by-step explanation:

Expand the following:

(6 g - 5 h)^2

(6 g - 5 h) (6 g - 5 h) = (6 g) (6 g) + (6 g) (-5 h) + (-5 h) (6 g) + (-5 h) (-5 h):

6×6 g g - 5×6 g h - 5×6 h g - 5 (-5) h h

6 g×6 g = 6×6 g^2:

6×6 g^2 - 5×6 g h - 5×6 h g - 5 (-5) h h

6×6 = 36:

36 g^2 - 5×6 g h - 5×6 h g - 5 (-5) h h

6 (-5) = -30:

36 g^2 + -30 g h - 5×6 h g - 5 (-5) h h

-5×6 = -30:

36 g^2 - 30 g h + -30 h g - 5 (-5) h h

-5 h (-5) h = -5 (-5) h^2:

36 g^2 - 30 g h - 30 h g + -5 (-5) h^2

-5 (-5) = 25:

36 g^2 - 30 g h - 30 h g + 25 h^2

g h (-30) + h g (-30) = -60 g h:

 36 g^2 + -60 g h + 25 h^2