Question

plz solve this question
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Answer 1

Answer:

math]f(x)=\displaystyle\frac{x}{\sqrt{x^4+10x^2-96x-71}}[/math]

It has the following elementary antiderivative:

[math]F(x)=-{\frac {1}{8}}\ln \left((x^{6}+15x^{4}-80x^{3}+27x^{2}-528x+781){\sqrt {x^{4}+10x^{2}-96x-71}}-(x^{8}+20x^{6}-128x^{5}+54x^{4}-1408x^{3}+3124x^{2}+10001)\right) [/math]

but the integral of the similar function (where [math]71[/math] is replaced by [math]72[/math])

[math]g(x)=\displaystyle\frac{x}{\sqrt{x^4+10x^2-96x-72}}[/math]

Answer 2

Answer:

(a+b) (a+b+2c)

Step-by-step explanation:

A2+B2+2ab+2bc+2ca

using the identity A2+B2+2ab=(a+b)2

we get,

=(a+b)2+2bc+2ca

=(a+b)2+2c(a+b)

(or)

(a+b)2+2c(b+a)

taking (a+b) common

= (a+b) (a+b+2c)

therefore, a2+b2+2(ab+bc+ca) = (a+b) (a+b+2c)