Factorise this question
Attachments:
Answers
Answered by
14
(i) 4x²+9y²+16z²+12xy -24yz -16xz
Solution:
4x²+9y²+16z²+12xy -24yz -16xz
= (2x)²+(3y)²+(4z)²+2(2)(3)xy -2(3)(4)yz -2(2x)(4z)
= (2x + 3y - 4z)(2x + 3y - 4z)
(ii) 2x²+y²+ 8z² -2√2xy +4√2yz -8xz
Solution:
(-√2x)²+(y)²+ (2√2z)² -2√2xy +4√2yz -8xz
= (√2x +y + 2√2z)(√2x +y + 2√2z)
@EklavyaKamal...
Solution:
4x²+9y²+16z²+12xy -24yz -16xz
= (2x)²+(3y)²+(4z)²+2(2)(3)xy -2(3)(4)yz -2(2x)(4z)
= (2x + 3y - 4z)(2x + 3y - 4z)
(ii) 2x²+y²+ 8z² -2√2xy +4√2yz -8xz
Solution:
(-√2x)²+(y)²+ (2√2z)² -2√2xy +4√2yz -8xz
= (√2x +y + 2√2z)(√2x +y + 2√2z)
@EklavyaKamal...
Similar questions