1) (a + 7)(a - 7); 2) (6 + x)(x - 6); 3) (4b - 1)(4b + 1); 4) (8m + 3y) (3y - 8m); 5) (x - q°)(x" + q°); 6(Tay-love)7y 7y+|02); 7) (0,3p3 + 0,2q*)(0,3p8 - 0,2q*); 8) (x1 - y*)(x*…

Let's go through each expression step by step to simplify them.

1. (a + 7)(a - 7)
   This is a difference of squares.
   \((a + 7)(a - 7) = a^2 - 49\)

2. (6 + x)(x - 6)
   This can be rewritten as:
   \((6 + x)(x - 6) = x^2 - 36\)

3. (4b - 1)(4b + 1)
   This is also a difference of squares:
   \((4b - 1)(4b + 1) = (4b)^2 - 1^2 = 16b^2 - 1\)

4. (8m + 3y)(3y - 8m)
   Using the distributive property (FOIL):
   \[ (8m + 3y)(3y - 8m) = 24my - 64m^2 + 9y^2 - 24my = -64m^2 + 9y^2 \]

5. (x - q°)(x" + q°)
   Assuming \(q°\) and \(x"\) are analogous to variables:
   This expression simplifies using the distributive property:
   \[ (x - q)(x + q) = x^2 - (q^2) \]

6. (7y + 0)^7y + 10
   It seems the formatting might be unclear, but simplifying gives:
   \[ (7y + 0)(7y) + 10 = 49y^2 + 10 \]

7. (0.3p^3 + 0.2q)(0.3p^8 - 0.2q)
   This is a difference of squares:
   \[ (0.3p^3)^2 - (0.2q)^2 = 0.09p^6 - 0.04q^2 \]

8. (x^1 - y^2)(x^2 + y^2)(x^8 + y^8)
   Assuming \(y^2\) in terms of both \(x\) and \(y\):
   This doesn't simplify easily without specific factorizations.

9. (m^2 - n^2)(-m^2 - n^2)
   Rewriting it yields \( (a-b)(-c) = -abc \):
   \[ (m^2 - n^2)(-m^2 - n^2) = -((m^2)^2 - (n^2)^2) = - (m^4 - n^4) \]

10. (1.3c) + (⅔6)(⅔8 - 1.30x)
    This expression needs clarification but follows the distributive property:
    Using numerical values in computations yields:
    \[ 1.3c + \frac{12}{3}( \frac{16 - 1.3x}{3}) = 1.3c + 4(16 - 1.30x) = 1.3c + 64 - 5.2x \]

This completes the simplifications. If you have any specific adjustments or another inquiry, let me know!