Question

Expand = (3a + 2b + 5c)2​

Answer 1

Answer:

3a2+2b2+5c2+60abc is the expansion

Answer 2

Answer:

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Step-by-step explanation:

ANSWER

We have (x+y+z)

2

=x

2

+y

2

+z

2

+2(xy+yz+zx)

Take x=3a,y=−2b and z=5c

(3a−2b+5c)

2

=(3a)

2

+(−2b)

2

+(5c)

2

+2(3a×−2b+(−2b)×5c+5c×3a)

=9a

2

+4b

2

+25c

2

+2(−6ab−10bc+15ac)

=9a

2

+4b

2

+25c

2

−12ab−20bc+30ac

∴(3a−2b+5c)

2

=9a

2

+4b

2

+25c

2

−12ab−20bc+30ac

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