Question

Factorize : 169x^2-625

Answer 1

Answer:

$169x^{2} - 625 \\ (13x)^{2} - (25) {}^{2}$

using the formula:$(a - b) {}^{2} = (a + b)(a - b)$

we have

$(13x) {}^{2} - (25)$^2

(13X+25)(13X-25)

Step-by-step explanation:

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Answer 2

Factorizing the given equation gives ( 13X + 25 ) ( 13X - 25 ).

Given

To factorize the given equation : $169X^{2}$ - 625

                     $169X^{2}$ - 625

625 can be written as ( 25 × 25 ) = $( 25 )^{2}$

169 can be written as ( 13 × 13 ) = $( 13 )^{2}$

                      $( 13X )^{2}$ - $(25)^{2}$   --------> ( 1 )

Equation is in the ( $a^{2}$ - $b^{2}$ ) format, here   a = 13          b = 25

Hence,       ( $a^{2}$ - $b^{2}$ ) = ( a + b ) ( a - b )

          $(13X)^{2}$ - $(25)^{2}$ = ( 13X + 25 ) ( 13X - 25 )

Therefore, by factoring the given equation the result is ( 13X + 25 ) ( 13X - 25).

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Factorize : 169x^2-625

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