x square+4y square+4yx-64 factorise
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Answered by
9
x² + 4y² + 4yx - 64
= ( x )² + ( 2y )² + 4xy - 64
= [ ( x )² + ( 2y )² + 2 ( x ) ( 2y ) ] - 64
![<b>a² + b² + 2ab = ( a + b )²</b> <b>a² + b² + 2ab = ( a + b )²</b>](https://tex.z-dn.net/?f=%26lt%3Bb%26gt%3Ba%C2%B2+%2B+b%C2%B2+%2B+2ab+%3D+%28+a+%2B+b+%29%C2%B2%26lt%3B%2Fb%26gt%3B)
= ( x + 2y )² - 64
= ( x + 2y )² - ( 8 )²
![<b>a² - b² = ( a + b ) ( a - b )</b> <b>a² - b² = ( a + b ) ( a - b )</b>](https://tex.z-dn.net/?f=%26lt%3Bb%26gt%3Ba%C2%B2+-+b%C2%B2+%3D+%28+a+%2B+b+%29+%28+a+-+b+%29%26lt%3B%2Fb%26gt%3B)
= ( x + 2y + 8 ) ( x + 2y - 8 )
= ( x )² + ( 2y )² + 4xy - 64
= [ ( x )² + ( 2y )² + 2 ( x ) ( 2y ) ] - 64
= ( x + 2y )² - 64
= ( x + 2y )² - ( 8 )²
= ( x + 2y + 8 ) ( x + 2y - 8 )
Answered by
1
Answer:
Step-by-step explanation:
x^2 + 4y^2 + 4xy - 64 =
= (x + 2y)^2 - 8^2 =
= (x + 2y -8)(x + 2y + 8)
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