Math, asked by ghanshyamchauhan1980, 3 months ago

2) Factorize 49m²-25n²​

Answers

Answered by rishabhsingh96
2

Answer:

( 7m+5n )( 7m-5n )

Step-by-step explanation:

=49m^2-25n^2

=( 7m )^2-( 5n )^2

=( 7m+5n )( 7m-5n )

Answered by XxLuckyGirIxX
111

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Factorize 49m²-25n²​

{\huge{\boxed{\tt{AnsweR:-}}}}}

The given equation = 49m²-25n²​

It can also be written as ,

\bf\red{:\longrightarrow49\:\:m^2=(7m)^2}

\bf\red{:\longrightarrow25\:\:n^2=(5n)^2}

So, we can also write this equation as,

\bf\red{:\longrightarrow49\:\:m^2-25\:\:n^2=(7m)^2-(5n)^2}

So now we can use the identity here!

\bf\pink{:\longrightarrow(a^2)-(b^2)=(a+b)(a-b)}

\bf\pink{:\longrightarrow(7m)^2-(5n)^2=(7m+5n)(7m-5n)}

That is, when we factorize 49m²- 25n²​, we get,

49 m²- 25 n²​ =  ( 7m + 5n ) ( 7m - 5n )

Happy Learning!!

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