Question

Подайте у виглядi многочлена: 1) (p-k)² 2) (2-c)² 3) (5+x)² 4) (2a+7)² 5) (8n-3m)² 6) (0,2k+0,1)² 7) (1\2x-1\3y)² 8) (1\8+8k)²

Answer 1

1) $(p-k)^2=p^2-2pk+k^2$
========
2) $(2-x)^2=2^2-2*2*x+x^2=4-4x+x^2$
============
3)$(5+x)^2=5^2+2*5*x+x^2=25+10x+x^2$
=============
4) $(2a+7)^2=(2a)^2+2*(2a)*7+7^2=4a^2+28a+49$
===========
[5) $(8n-3m)^2=(8n)^2-2*(8n)*(3m)+(3m)^2=64n^2-48nm+9m^2$
===========
6)$(0.2k+0.1)^2=(0.2k)^2+2*(0.2k)*0.1+0.1^2=0.04k^2+0.04k+0.01$
===============
7)$(\frac{1}{2}x-\frac{1}{3}y)^2=(\frac{x}{2})^2-2*\frac{x}{2}*\frac{y}{3}+(\frac{y}{3})^2=\frac{x^2}{4}-\frac{xy}{3}+\frac{y^2}{9}$
===============
8) $(\frac{1}{8}+8k)^2=(\frac{1}{8})^2+2*\frac{1}{8}*(8k)+(8k)^2=\frac{1}{64}+2k+64k^2$