Question

Multiply: 6y5(6x2−6xy+y2).

Answer 1

`{ \boxed{ = (36 {x}^(2) y {}^(5) - 36 {xy}^(6) + {3y}^(7) )}}`

Explanation:

`{6y}^(5) ( {6x}^(2) - 6xy + {y}^(2) )`

• Let us open the brackets by multiplying 6y⁵ with every term inside the bracket;

`= \{( {6x}^(2) * {6y}^(5) ) - (6xy * {6y}^(5) ) + ( {y}^(2) * {6y}^(5) ) \} \\`

• Let us secondly, solve the sub-brackets following the laws of indices below;

`{ \boxed{ \tt{ \red{ {a}^(n) * {b}^(m) = {ab}^((n + m)) }}}} \\`

Therefore;

`= \{(36 {x}^(2) {y}^(5)) - (36 {xy}^(6) ) + (3 {y}^(7) ) \} \\ \\ = (36 {x}^(2) {y}^(5) - 36 {xy}^(6) + {3y}^(7) )`