Maths-
General
Easy

Question

Factor the given expression completely.
49 x cubed minus 16 x y squared

hintHint:

using the formula a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis factorize the given expression

The correct answer is: x(7x-4y)(7x+4y) is the factorized form of the given expression.


    Ans:- x(7x-4y)(7x+4y) is the factorized form of the given expression.
    Given, 49 x cubed minus 16 x y squared
    Taking out common factor x out of equation , we get x open parentheses 49 x squared minus 16 y squared close parentheses
    Write 49 x squared text  as  end text left parenthesis 7 x right parenthesis squared text  and  end text 16 y squared text  as  end text left parenthesis 4 y right parenthesis squared text  we get  end text x open parentheses left parenthesis 7 x right parenthesis squared minus left parenthesis 4 y right parenthesis squared close parentheses
    Applying a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis
    Here a = 7x ; b = 4y
    We get , 49 x cubed minus 16 x y squared equals x left parenthesis 7 x minus 4 y right parenthesis left parenthesis 7 x plus 4 y right parenthesis
    ∴ x ( 7x - 4y ) ( 7x + 4y ) is the factorized form of the given expression.

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