Question

divide these polynomials #GENIUS #TOPPER​

Answer 1

Answer:

(i) ax^2 −ay^2 by ax+ay.

=> is in picture✨✨✨✌✌✌✌

(ii) -x^6+2x^4+4x^3+2x^2 by √2x^2

=> sorry mate i don't know answer of this one sorry

Mark me as brainlist plz✌✌✌✌✨✨✨✨❤❤❤❤

Answer 2

Question given :

• $\sf\implies\:\dfrac{ax^2\:-\:ay^2}{ax\:+\:ay}$

• $\sf\implies\:\dfrac{x^6\:+\:2x^4\:+\:4x^3\:+\:2x^2}{\sqrt{2}x^2}$

Required solution :

Answer 1 :

• $\sf\implies\:\dfrac{ax^2\:-\:ay^2}{ax\:+\:ay}$

• Take a as common

• $\sf\implies\:\dfrac{a(x^2\:-\:y^2)}{a(x\:+\:y)}$

• Use identity a² - b² = ( a - b )( a + b )

• $\sf\implies\:\dfrac{a(x\:-\:y)(x\:+\:y)}{a(x\:+\:y)}$

• Cancel out a

• $\sf\implies\:\dfrac{(x\:-\:y)(x\:+\:y)}{(x\:+\:y)}$

• Cancel out x + y

• x - y is the solution

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Answer 2 :

• $\sf\implies\:\dfrac{x^6\:+\:2x^4\:+\:4x^3\:+\:2x^2}{\sqrt{2}x^2}$

• Take out x² as common

• $\sf\implies\:\dfrac{x^2(x^4\:+\:2x^2\:+\:4x\:+\:2)}{\sqrt{2}x^2}$

• Cancel out x²

• $\sf\implies\:\dfrac{x^4\:+\:2x^2\:+\:4x\:+\:2}{\sqrt{2}}$

• Rationalise the denominator

• $\sf\implies\:\dfrac{x^4\:+\:2x^2\:+\:4x\:+\:2}{\sqrt{2}}\:\times\:\dfrac{\sqrt{2}}{\sqrt{2}}$

• $\sf\implies\:\dfrac{x^4\:+\:2x^2\:+\:4x\:+\:2\:\times\:\sqrt{2}}{\sqrt{2}\sqrt{2}}$

• Remove the brackets

• $\sf\implies\:\dfrac{\sqrt{2}(x^4)\:+\:\sqrt{2}(2x^2)\:+\:\sqrt{2}(4x)\:+\:\sqrt{2}(2)}{2}$