Question

1) (m+n)(m,n);4) (a-c)(c+a);7) (x+2)(2-x);10) (2x-3y)(2x+3y);​

Answer 1

1) (m+n)(m-n) = m²-n²

2) (a-c)(a+c) = a²-c²

3) (2+x)(2-x) = 2²-x² = 4-x²

4) (2x)² - (3y)² = 4x²-9y²

Answer 2

Let's simplify the given expressions:

1. (m + n)(m, n) Expanding the expression, we get: (m + n)(m, n) = m(m, n) + n(m, n)

2. (a - c)(c + a) Expanding the expression, we get: (a - c)(c + a) = a(c + a) - c(c + a)

3. (x + 2)(2 - x) Expanding the expression, we get: (x + 2)(2 - x) = x(2 - x) + 2(2 - x)

4. (2x - 3y)(2x + 3y) Expanding the expression, we get: (2x - 3y)(2x + 3y) = 2x(2x + 3y) - 3y(2x + 3y)

Note that the terms in the brackets are separated by commas, which usually denotes a pair or tuple of values. However, in the given context, it seems like the values inside the brackets are not directly related to the calculations. If you provide more information or clarify the expressions, I can help further.