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Hey guys i have a test tmrw i hope you can help me please solve the below question pleaseeeeeif (x^2+3x+5)(x^2-3x+5)= m^2 -n^2 then m can be? |
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Answer» The LHS is in the form (a+b)(a-b) We KNOW, (a+b)(a-b)=a²-b² So, LHS • (x²)²-(3x+5)² x^4 - [(3x)² + 5² +2(3x)(5)] x^4 - [9x² + 25 + 30X] x^4 - 9x² - 25 - 30x Now, LHS = RHS m² - n² = x^4 - 9x² - 25 - 30x m² = x^4 - 9x² - 25 - 30x + n² m = √ x^4 - 9x² - 25 - 30x + n² Hope it helps!!! :) |
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