1) (m-3)•(m+3)= 2) (c-7)•(c+7)= 3) (4x+5a)•(5a-4)= 4) (7x-2)•(7x+2)= 5) (8b+5a)•(5a-8b)= 6) (10p-6q)•(10p+6q)=

To solve each of these expressions, we will use the difference of squares formula, which states that: \[ (a - b)(a + b) = a^2 - b^2 \] Now, let's apply this to each expression: 1) \((m-3) \cdot (m+3) = m^2 - 3^2 = m^2 - 9\) 2) \((c-7) \cdot (c+7) = c^2 - 7^2 = c^2 - 49\) 3) \((4x + 5a)(5a - 4)\) is not in the form of a difference of squares. Let's expand this expression: \[ (4x + 5a)(5a - 4) = 4x \cdot 5a - 4 \cdot 4x + 5a \cdot 5a - 5a \cdot 4 \] \[ = 20ax - 16x + 25a^2 - 20a \] So, the result is \(20ax - 16x + 25a^2 - 20a\). 4) \((7x-2) \cdot (7x+2) = (7x)^2 - 2^2 = 49x^2 - 4\) 5) \((8b + 5a)(5a - 8b)\) is also not in the difference of squares form, so we will expand this as well: \[ (8b + 5a)(5a - 8b) = 8b \cdot 5a - 8b \cdot 8b + 5a \cdot 5a - 5a \cdot 8b \] \[ = 40ab - 64b^2 + 25a^2 - 40ab \] \[ = 25a^2 - 64b^2 \] So, the result is \(25a^2 - 64b^2\). 6) \((10p-6q) \cdot (10p+6q) = (10p)^2 - (6q)^2 = 100p^2 - 36q^2\) In summary, the simplified results are: 1) \(m^2 - 9\) 2) \(c^2 - 49\) 3) \(20ax - 16x + 25a^2 - 20a\) 4) \(49x^2 - 4\) 5) \(25a^2 - 64b^2\) 6) \(100p^2 - 36q^2\)