Question

4х^2+ 12х + 9 x^2 –y^2 x^3-y^3 m^3-п^3

Answer 1

Ответ:

1.

$4x {}^{2} + 12x + 9 = (2x + 3) {}^{2}$

2.

$x {}^{2} - y {}^{2} = (x - y)(x + y)$

3.

$x {}^{3} - y {}^{3} = (x - y)(x {}^{2} + xy + y {}^{2} )$

4.

$m {}^{3} - n {}^{3} = (m - n)(m {}^{2} + mn + n {}^{2} )$

Answer 2

It seems like you've provided a combination of algebraic expressions, but there is no specific question or instruction. If you have a particular question or task related to these expressions, please let me know, and I'd be happy to assist you. For now, I'll help you simplify the given expressions.

1. 4x^2 + 12x + 9: This is a quadratic expression. You can factor it as follows: 4x^2 + 12x + 9 = (2x + 3)^2

2. x^2 - y^2: This is the difference of squares, and you can factor it as follows: x^2 - y^2 = (x + y)(x - y)

3. x^3 - y^3: This is a difference of cubes, and you can factor it using the formula: x^3 - y^3 = (x - y)(x^2 + xy + y^2)

4. m^3 - п^3: This is another difference of cubes, and you can factor it using the same formula: m^3 - п^3 = (m - п)(m^2 + mп + п^2)

If you have a specific question or need further assistance, please provide more details.