Question

помогите Пожалуйста ​

Answer 1

$1)\; \; (m+4)(m-4)=m^2-16\\\\(5n-p)(5n+p)=25n^2-p^2\\\\(12a+7b)(12a-7b)=144a^2-49b^2\\\\(10x^4-y^2)(10x^4+y^2)=100x^8-y^4$

$2)\; \; 49-x^2=(7-x)(7+x)\\\\9m^2-225n^2=(3m-15n)(3m+15n)\\\\36x^2y^2-1=(6xy-1)(6xy+1)\\\\t^4q^6-64p^2=(t^2q^3-8p)(t^2q^3+8p)\\\\144-(m-4)^2=(12-m+4)(12+m-4)=(16-m)(8+m)$

$3)\; \; \frac{95^2-5^2}{72,5^2-27,5^2}=\frac{(95-5)(95+5)}{(72,5-27,5)(72,5+27,5)}=\frac{90\cdot 100}{45\cdot 100}=2\\\\\\4)\; \; 25y^2-49=0\; \; ,\; \; (5y-7)(5y+7)=0\; ,\\\\5y-7=0\; \; \to \; \; y=\frac{7}{5}=1,4\\\\5y+7=0\; \; \to \; \; y=-1,4\\\\Otvet:\; \; x=-1,4\; \; ;\; \; x=1,4\; .$