Ответ:
[tex]a) (2x+1)*(x-1)=2x^{2} -2x+x-1=2x^{2} -x-1[/tex]
[tex]b)(5+x)^{2} =(5+x)*(5+x)=25+5x+5x+x^{2} =25+10x+x^{2}[/tex]
[tex]c) (3a-10b)^{2} =(3a-10b)*(3a-10b)=9a^{2} -30ab-30ab+100b^{2} =9a^{2} -60ab+100b^{2}[/tex]
[tex]d) (5x+y)*(y-5x)=5xy-25x^{2} +y^{2} -5xy= -25x^{2} +y^{2}[/tex]
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Verified answer
Ответ:
[tex]a) (2x+1)*(x-1)=2x^{2} -2x+x-1=2x^{2} -x-1[/tex]
[tex]b)(5+x)^{2} =(5+x)*(5+x)=25+5x+5x+x^{2} =25+10x+x^{2}[/tex]
[tex]c) (3a-10b)^{2} =(3a-10b)*(3a-10b)=9a^{2} -30ab-30ab+100b^{2} =9a^{2} -60ab+100b^{2}[/tex]
[tex]d) (5x+y)*(y-5x)=5xy-25x^{2} +y^{2} -5xy= -25x^{2} +y^{2}[/tex]
2x*x-2x+x-1
2x^2 - 2x+x-1
2x^2 -x-1
б) (5+x)^2
25+10x+x^2
x^2 + 10x+25
в) (3a-10b)^2
(3a)^2 - 2*3a*10b+(10b)^2
9a^2 -60ab+100b^2
г) (5x+y) (y-5x)
(y+5x)*(y-5x)
y^2 - 25x^2