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) (12x-13y)²
8) (18+8k)²

Answer 1

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