Question

Any body please solve this full

I will mark you as brainliest
And I will give 100 points​

Answer 1

Answer:

The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity. Special relativity applies to all physical phenomena in the absence of gravity. General relativity explains the law of gravitation and its relation to other forces of nature.

Answer 2

Answer:

i)a⁴-81  ; ii)34 ; iii)k=48  iv)49 ; v)40

Step-by-step explanation:

i)(a+3)(a-3)(a²+9)

=(a²-3²)(a²+9)     [:(a+b)(a-b)=a²-b²]

=(a²-9)(a²+9)

=(a²)²-9²           [:(a+b)(a-b)=a²-b²]

=a⁴-81

ii)$given, x^{2}+ \frac{1}{x^{2} } =6$

$(x^{2} +\frac{1}{x^{2} })^{2} = x^{4}+\frac{1}{x^{4} }+2*x^2*\frac{1}{x^2}$

$(x^{2} +\frac{1}{x^{2} })^{2} =x^{4} +\frac{1}{x^{4} }+2\\ \\x^{4} +\frac{1}{x^{4} }=(x^{2} +\frac{1}{x^{2} })^{2}-2\\x^{4} +\frac{1}{x^{4} }=6^{2}-2\\x^{4} +\frac{1}{x^{4} }=36-2\\x^{4} +\frac{1}{x^{4} }=34$      

iii) xy²k=(4xy+3y)²-(4xy-3y)²

xy²k=[(4xy+3y)+(4xy-3y)][(4xy+3y)-(4xy-3y)]        [:(a+b)(a-b)=a²-b²]

xy²k=(4xy+3y+4xy-3y)(4xy+3y-4xy+3y)

xy²k=8xy*6y

xy²k=48xy²

k=48xy²/xy²

k=48

iv)a²+b²=9  ;  ab=4

then (a+b)²=a²+b²+2ab

(a+b)²=9+2*4

(a+b)²=17

(a-b)²=a²+b²-2ab

(a-b)²=9 -2*4

(a-b)²=1

value of

3(a+b)²-2(a-b)²=3*17-2*1=51-2=49

v)a+b+c=12

a²+b²+c²=64

(a+b+c)²=a²+b²+c²+2ab+2bc+2ac

12²=64+2(ab+bc+ac)

2(ab+bc+ac)=144-64

2(ab+bc+ac)=80

ab+bc+ac=80/2

ab+bc+ac=40