Respuesta :
[tex]g^{2}-28g+196=g^{2}-14g-14g+196=g(g-14)-14(g-14)= \\ \\ (g-14)(g-14)=(g-14)^{2}[/tex]
P.S :>
[tex](a-b)^{2}=a^{2}-2ab+b^{2}[/tex]
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P.S :>
[tex](a-b)^{2}=a^{2}-2ab+b^{2}[/tex]
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"Associate with people who are likely to improve you."
We can use this formula:
[tex]\sf{x^2-2xy+y^2 =(x-y)(x-y)=(x-y)^{2}}[/tex]
[tex]g^2 - 28g + 196 \to (g)^2 - 2(14)(g) + (14)^2[/tex]
that means:
[tex]x = g, y = 14[/tex]
So plugging that into the formula, you get:
[tex]g^2 - 28g + 196= (g-14)(g-14)= (g-14)^2 [/tex]
[tex]\sf{x^2-2xy+y^2 =(x-y)(x-y)=(x-y)^{2}}[/tex]
[tex]g^2 - 28g + 196 \to (g)^2 - 2(14)(g) + (14)^2[/tex]
that means:
[tex]x = g, y = 14[/tex]
So plugging that into the formula, you get:
[tex]g^2 - 28g + 196= (g-14)(g-14)= (g-14)^2 [/tex]