Factorise 49x^2-4(y+3x)^2
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Answer :—
= 49x² - 4( y + 3x )²
= (7x)² - (2(y + 3x))²
- Using identity a² - b² = ( a - b )( a + b )
= (7x - (2(y + 3x) (7x + (2(y + 3x)
= (7x - 2y - 6x)(7x + 2y + 6x)
- Collect like terms
= (x - 2y )(13x + 2y )
★Hence, the factors are (x - 2y ) and (13x + 2y )
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