Question

В) 9a2 – c^2= г) 25m2 – 36n2 д) (a – 3)2 е) (2m + 3)2

Answer 1

Ответ:

Пошаговое объяснение:

в) 9a2 – c^2=(3а - с)(3а + с)

г) 25m2 – 36n2= (5m - 6n)(5m + 6n)

д) (a – 3)2= a2 - 6a + 9

е) (2m + 3)2= 4m2 + 12m + 9

Answer 2

Let's simplify each expression:

a) 9a^2 - c^2: This is a difference of squares, which can be factored as (3a + c)(3a - c).

b) 25m^2 - 36n^2: This is also a difference of squares, which can be factored as (5m + 6n)(5m - 6n).

c) (a - 3)^2: This is a perfect square, which can be expanded as a^2 - 6a + 9.

d) (2m + 3)^2: This is also a perfect square, which can be expanded as 4m^2 + 12m + 9.

So the factored forms and expanded forms of each expression are as follows:

a) 9a^2 - c^2 = (3a + c)(3a - c)

b) 25m^2 - 36n^2 = (5m + 6n)(5m - 6n)

c) (a - 3)^2 = a^2 - 6a + 9

d) (2m + 3)^2 = 4m^2 + 12m + 9