Respuesta :

Answer:

[tex]\huge\boxed{\sf (10x+9)^2}[/tex]

Step-by-step explanation:

[tex]\sf 100x^2 + 180x+81\\\\= (10x)^2 + 2(10x)(9)+ (9)^2\\\\Using \ Formula \ a^2 +2ab+b^2 = (a+b)^2\\\\= (10x+9)^2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

[tex](10x + 9 {)}^{2} [/tex]

Step-by-step explanation:

1) Rewrite it in the form a² + 2ab + b², where a = 10x and b = 9.

[tex](10x) ^{2} + 2(10x)(9) + {9}^{2} [/tex]

2) Use square sum: ( a + b )² = a² + 2ab + b².

[tex](10x + 9 {)}^{2} [/tex]

Hence, the answer is (10x + 9)².

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