Answer:
x2-20x+100
Step-by-step explanation:
You have to factor the expression in order to get your answer
Do this by expanding out the expression: (x-10)(x-10) Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.
Multiply x and x to get , multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: . Then combine like terms
The required trinomial in standard form is x²+20x+100.
Important information:
Using the formula [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+10)^2=(x)^2+2(x)(10)+(10)^2[/tex]
[tex](x+10)^2=x^2+20x+100[/tex]
Therefore, the required trinomial in standard form is x²+20x+100.
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