Question

помогите с агеброй:5.48 и 5.49​

Answer 1

Ответ:

$5.48)\ \ (a^2+b^2)(a^2-b^2)=a^4-b^4\\\\(c^3-d^3)(c^3+d^3)=c^6-d^6\\\\(10m^2-n^2)(10m^2+n^2)=100m^4-n^4\\\\(c^4+d^2)(c^4-d^2)=c^8-d^4\\\\(5x^2+2y^3)(2y^3-5x^2)=4y^6-25x^4\\\\(1,4c-0,7a^3)(1,4c+0,7a^3)=1,96c^2-0,49a^6$

$5.49)\ \ (x^{n}+y^{n})(x^{n}-y^{n})=x^{2n}-y^{2n}\\\\(a^{k}-b)(a^{k}+b)=a^{2k}-b^2\\\\(p^{m}-q^{n})(p^{m}+q^{n})=p^{2m}-q^{2n}\\\\(a-2)(a+2)(a^2+4)=(a^2-4)(a^2+4)=a^4-16\\\\(5-x)(5+x)(25+x^2)(25-x^2)(25+x^2)=625-x^4\\\\(a-2)^2(a+2)^2=\Big((a-2)(a+2)\Big)^2=(a^2-4)^2=a^4-8a^2+16$