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Factorize each of the following algebrai...

Factorize each of the following algebraic expressions: `x^4-y^4`

Text Solution

Verified by Experts

Given:
`x^4-y^4`
`=> (x^2)^2-(y^2)^2`
`=> (x^2-y^2)(x^2+y^2)`
`=> (x-y)(x+y)(x^2+y^2)`
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RD SHARMA-FACTORISATION-All Questions
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  2. Factorize each of the following algebraic expressions: (i) 5(x-2y)...

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  3. Factorize each of the following algebraic expressions: x^4-y^4

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  4. Factorize each of the following algebraic expressions: (i) x^3(a-2...

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  5. Factorize: (i)x^2+x y+8x+8y (ii) 15 x y-6x+10 y-4

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  6. Factorize: (i)15 a b+15+9b+25 a (ii) n-7+7l m-l m n

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  7. Factorize: (i) a x+b x+a y+b y, (ii) a x^2+b y^2+b x^2+a y^2, (iii)...

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  8. Factorize: a^2+2a+a b+2b, x^2-x z+x y-x z

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  9. Factorize each of the following expressions: (i)a^2-b+a ba (ii) x y-...

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  10. Factorize each of the following expressions: (i) 6a b-b^2+12 a c-2b c...

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  11. Factorize each of the following expressions: (i) a^2x^2+(a x^2+1)x+a...

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  12. Factorize each of the following expressions: (i) a^3x+a^2(x-y)-a(y+z)...

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  13. Factorize: (i) x^3-2x^2y+3x y^2-6y^3 (ii) 6a b-b^2+12 a c-2b c

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  14. Factorize each of the following expressions: (1)q r-p r+q s-p s (2...

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  15. Factorize each of the following expressions: (1)x a^2+x b^2-y a^2-y ...

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  16. Factorize each of the following expressions: (1) a x y+b c x y-a z-b...

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  17. Factorize each of the following expressions: (1) x^2-2a x-2b a+b x ...

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  18. Factorize each of the following expressions: (1) 16(a-b)^3-24(a-b)^2...

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  19. Factorize each of the following expressions: (1)a(a+b-c)-b c (2) x...

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  20. Factorize: (i)9a^2-16 b^2 (ii) 36 a^2-(x-y)^2 (iii)80 a^2-45 b^2 ...

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