1. (8а -7)^2 = 2. (4х +3)^2= 3. (5у -6)^2= 4. (а^2 -7)^2= 5. (б +с^3)^2= 6. (х^2 -у^2)^2=

To expand the given expressions, we can use the algebraic identity \((a - b)^2 = a^2 - 2ab + b^2\) for each expression. Here's the expanded form for each:

1. \((8a - 7)^2\) \[ = (8a)^2 - 2(8a)(7) + 7^2 = 64a^2 - 112a + 49 \]

2. \((4x + 3)^2\) \[ = (4x)^2 + 2(4x)(3) + 3^2 = 16x^2 + 24x + 9 \]

3. \((5y - 6)^2\) \[ = (5y)^2 - 2(5y)(6) + 6^2 = 25y^2 - 60y + 36 \]

4. \((a^2 - 7)^2\) \[ = (a^2)^2 - 2(a^2)(7) + 7^2 = a^4 - 14a^2 + 49 \]

5. \((b + c^3)^2\) \[ = (b)^2 + 2(b)(c^3) + (c^3)^2 = b^2 + 2bc^3 + c^6 \]

6. \((x^2 - y^2)^2\) \[ = (x^2)^2 - 2(x^2)(y^2) + (y^2)^2 = x^4 - 2x^2y^2 + y^4 \]

These are the expanded forms of the given expressions.