Question

1. m² + 2mn + n² - 1
2. x² - 9a⁴ + 6a² + 1 + 2x - 6²
3. a² - 2am + m² - 4b²
4. c² - a² + 2ax - x²​

Answer 1

Respuesta:

1.(m+n-1)(m+n+1)

2.$x^{2}$ - $9a^{2}$+$6a^{2}$+2x - 35

3.(a-m-2b)(a-m+2b)

4.(c-a+x)(c+a-x)

Explicación paso a paso:

1.$m^{2}+2mn +n^{2}-1 =(m+n)^{2}-1=(m+n-1)(m+n+1)$

2.$x^{2} -9a^{4}+6a^{2}+1+2x-6^{2} =x^{2} - 9a^{4}+6a^{2}+2x+1-36=x^{2} -9a^{4}+6a^{2}+2x-35$

3.$a^{2}-2am+m^{2}-4b^{2}=(a-m)^{2}-4b^{2}=(a-m-2b)(a-m+2b)$

4.$c^{2}-a^{2}+2ax-x^{2}=c^{2}-(a^{2}+2ax-x^{2} )=c^{2}-(a-x)^{2}=(c-a+x)(c+a-x)$