Question

solve using suitable identities (2x+5y-3z)2​

Answer 1

Step-by-step explanation:

Given,

(2x + 5y -3z) {}^{2}(2x+5y−3z)2

we know that

(a + b + c) {}^{2} = a {}^{2} + b {}^{2} + c {}^{2}  +2ab+2bc +2ca.(a+ b + c)2=a2+b2+ c2 +2ab+2bc+2ca.

Hence,

(2x + 5y -3z) {}^{2} = (2x) {}^{2} +(5y) {}^{2} + (- 3z) {}^{2} + 20xy -30yz - 12xz \\ = 4x {}^{2} + 25y {}^{2} + 9z {}^{2} + 2xy - 30yz - 12xz\end{gathered}(2x+5y−3z)2=(2x)2+(5y)2+(−3z)2+20xy−30yz−12xz=4x2+25y2+9z2+2xy−30yz−12xz