Question

Expand the following expression by using appropriate formula.
i) (x+2y+z)×(x+2y+z)
ii) (2x+3y-4z)×(2x+3y-4z)
iii(2/3a+3/2b-6c)(2/3a+3/2b-6c)
plz say fast...​
If anyone says the answer I will follow and I will mark the answer as brainlist..

Answer 1

Answer:

1. ( x+ 2y+z) ×(x+2y+z)

(x+ 2y+z) ^2

(x) ^2+(2y) ^2+(z) ^2+2×x×2y+2×2y×z+2×x×z

x^2+4y^2+z^2+4xy+4yz+2xz

2. (2x+3y-4z) ×(2x+3y-4z)

(2x+3y-4z) ^2

(2x) ^2+(3y) ^2+(-4z) ^2+2×2x×3y+2×3y×(-4z) +2×2x×(-4z)

4x^2+9y^2+16z^2+12xy-24yz-16xz

Answer 2

Answer:

1. i) $(x + 2y + z) {}^{2} = x {}^{2} + 4y {}^{2} + z {}^{2} + 4xy + 4yz + 2xz$
2. ii)$(2x + 3y - 4z) {}^{2} = 4x { }^{2} + 9y {}^{2} + 16z {}^{2} + 12xy - 16xz - 24yz$
3. iii)$( \frac{2}{3} a + \frac{3}{2} b - 6c) {}^{2} = (\frac{4}{9} a {}^{2} + \frac{9}{4} b {}^{2} + 36c {}^{2} + 2ab - 8ac - 18bc$

Step-by-step explanation:

please remember the formula

(a+b+c)^2=a^2 +b^2+c^2+2ab+2bc+2ca