Question

(3a-b)(3a+b)+b^2 9x^2-(y+4x)(y-4x) (5c-6d)(5c+6d)-25c^2 (7m-10n)(7m+10n)-100n^2

Answer 1

(3a) ²-b²+b²=9a²
9x²-y²+16x²=25x²-y²
25c²-36d²-25c²=-36d²
49m²-100n²-100n²=49m²-200n²

Answer 2

It looks like you've provided a series of algebraic expressions. I can help you simplify these expressions if you'd like. Let's go through them one by one:

1. Expression: (3a - b)(3a + b) + b^2 Expansion of the first term: (3a)^2 - b^2 Expansion of the second term: b^2 Combine the terms: 9a^2 - b^2 + b^2 Simplified result: 9a^2

2. Expression: 9x^2 - (y + 4x)(y - 4x) Expansion of the second term using the difference of squares: y^2 - (4x)^2 Simplified result: y^2 - 16x^2 Subtracting from 9x^2: 9x^2 - y^2 + 16x^2 Simplified result: 25x^2 - y^2

3. Expression: (5c - 6d)(5c + 6d) - 25c^2 Expansion of the first term: (5c)^2 - (6d)^2 Expansion of the second term: 25c^2 Combine the terms: 25c^2 - 36d^2 + 25c^2 Simplified result: 50c^2 - 36d^2

4. Expression: (7m - 10n)(7m + 10n) - 100n^2 Expansion of the first term: (7m)^2 - (10n)^2 Expansion of the second term: 49m^2 - 100n^2 Combine the terms: 49m^2 - 100n^2 - 100n^2 Simplified result: 49m^2 - 200n^2

If you have any more expressions or further questions, feel free to ask!