Question

Спростіть вирази:1)(2a-x)(2a+x)+x²2)(m-n)²+(m+n)²-2m²​

Answer 1

Ответ:

Объяснение:

1) 4a^2-x^2+x^2=4a^2

2)m^2-2mn+n^2+m^2+2mn+n^2-2m^2=2n^2

Answer 2

1. (2a - x)(2a + x) + x²

To simplify this expression, we can use the formula for the difference of squares, which states that (a - b)(a + b) = a² - b².

In our expression, a = 2a and b = x. So, we can rewrite it as:

(2a - x)(2a + x) = (2a)² - x²

Now, the expression becomes:

(2a)² - x² + x²

Since x² and -x² cancel each other out, the simplified expression is:

(2a)² = 4a²

2. (m - n)² + (m + n)² - 2m²

To simplify this expression, we can expand the squares and then combine like terms:

(m - n)² = m² - 2mn + n² (m + n)² = m² + 2mn + n²

Now, let's substitute these values back into the original expression:

(m - n)² + (m + n)² - 2m² = (m² - 2mn + n²) + (m² + 2mn + n²) - 2m²

Now, combine like terms:

= m² - 2mn + n² + m² + 2mn + n² - 2m²

The "- 2mn + 2mn" terms cancel each other out, and the simplified expression is:

= 2m² + 2n² - 2m²

Now, the "2m² - 2m²" terms also cancel each other out, and the final simplified expression is:

= 2n²