Factor completely, then place the factors in the proper location on the grid. a2b2 - 7ab + 10

Answer.

Notice that 7 = 2 + 5 and 10 = 2 x 5.

So we can factor  

a^2b^2 - 7ab + 10 = (ab)^2 - 7 (ab) + 10

= (ab = 2)(ab - 5)

 This is an instance of the identity:

(x - m) (x - n) = x^2 - (m + 2)x + (m x n)

with x = ab, m = 2 and n = 5.

Step-by-step explanation:

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