Factrorise 25x2+4y2+9z2−20xy−12yz+30xz
25x2+4y2+9z2−20xy−12yz+30xzUsing identity, (a+b+c)2=a2+b2+c2+2ab+2bc+2ca25x2+4y2+9z2−20xy−12yz+30xz=(−5x)2+(2y)2+(−3z)2+2×(−5x)(2y)+2×2y×(−3z)+2×(−3z)(−5x)=(−5x+2y−3z)2=(−5x+2y−3z)(−5x+2y−3z)
Question 29 Factorise the following:
Factorize:
16x2+4y2+9z2−16xy−12yz+24xz