Question

factorise completely

Answer 1

(2)-2×2×8x² +(8x)²=
4-32x²+64x²

(ax)²-2×ax×ay+(ay)²=
a²x²-a²xy+a²y²

Answer 2

1) 2 - 8x²

=> taking 2 common from both terms

=> 2 ( 1 - 4x² )

=> 2 ( 1² - (2x)² )


using a²-b² = (a+b)(a-b)


=>2 ( 1 + 2x ) ( 1 - 2x )

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2) ax²-ay²


=> a ( x² - y² )

=> a ( x + y ) ( x - y )


as , a²-b²= ( a + b ) ( a - b )

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3) a⁴-b⁴

=> ( a² ) ² - ( b² ) ²

=> ( a² - b² ) ( a² + b² )

=> ( a - b ) ( a + b ) ( a² + b² )


using formula a²-b²= (a+b)(a-b)


hope this helps