Math, asked by bhaihari302, 3 months ago

Simplify :(2×+5)2- (2×-5)2​

Answers

Answered by bazillashowkat7
0

Answer:

The only clear way to solve it successfully is by making the two fractions’ denominators one. And the easy way to do that in your case to multiply the first by 2+√5 and the second by 2-√5. So, you obtain:

(2+√5/2-√5) + (2-√5/2+√5)= ((2+√5)*(2+√5)/(2-√5)*(2+√5)) + ((2-√5)*(2-√5)/(2+√5)*(2-√5))= ((2+√5)²+(2-√5)²)/((2+√5)*(2-√5))=((4+5+4√5)+(4+5–4√5))/(2²-√5²)=(9+9+4√5–4√5)/(4–5)=18/(-1)= -18

The mathematical properties used:

(a+b)²=a²+2ab+b² , (a-b)²=a²-2ab+b² and (a+b)*(a-b)=a²-b²

Answered by ItzRedWine
62

Answer:

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Step-by-step explanation:

\huge \bold \red{hope \: it \: helps}

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