Which statement is true regarding the functions on the
graph?
95
f(6) = g(3)
f(3) =18(3)
f(3) = g(6)
Of(6) = g(6)
4
-3 -2 -12 1/1
2 3
4 5
6 x
5
ф
0
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Ответ:

WritingStar1313

27.02.2022

Mathematics

$(x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)$ .

Step-by-step explanation:

We want to expand: $x^{12}y^{18}+1$ .

We can rewrite this as the sum of two cubes.

$(x^{4})^3(y^{6})^3+1=(x^{4}y^{6})^3+1^3$ .

Recall and use the sum of cubes identity: a^3+b^3=(a+b)(a^2-ab+b^2)

By comparing our newly rewritten expression to this identity, we have a=x^4y^6 and b=1 .

We substitute into the identity to get:

$(x^{4}y^{6})^3+1^3=[x^{4}y^{6}+1][(x^{4}y^{6})^2-(x^{4}y^{6})(1)+1^2]$ .

We now use this rule of exponents : $(a^m)^n=a^{mn}$ to get;

$(x^{4}y^{6}+1)(x^{8}y^{12}-x^{4}y^{6}+1)$ .

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Which statement is true regarding the functions on the graph? 95 f(6) = g(3) f(3) =18(3) f(3) = g(6) Of(6) = g(6) 4 -3 -2 -12 1/1 2 3 4 5 6 x 5 ф 0 Mark this and return Save and Exit Next Submit