Question

write (3a + 4b +5c)² in expanded form​

Answer 1

Question:-

• Write $(3a+4b+5c)^{2}$ in expanded form.

Formula to be used here:-

$(x + y + z)^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2(xy + yz + xz)$

Solution:-

${(3a + 4b + 5c)}^{2}$

$= {(3a)}^{2} + {(4b)}^{2} + {(5c)}^{2} + 2 \times ((3a \times 4b )+ (4b \times 5c) + (3a \times 5c))$

$= 9 {a}^{2} + 16 {b}^{2} + 25 {c}^{2} + 2 \times (12ab + 20bc + 15ac)$

$= 9 {a}^{2} + 16 {b}^{2} + 25 {c}^{2} + 24ab + 40bc + 30ac$

Answer:-

• $9 {a}^{2} + 16 {b}^{2} + 25 {c}^{2} + 24ab + 40bc + 30ac$

Answer 2

Answer:

This is ur answer. Hope it helps