Question

EXPANDING BRACKETS -
x(3x+2)

Answer 1

3x² + 2x

Explanation:

Given equation, x(3x + 2)

= x(3x + 2)

Distributive property

= {(x * 3x) + (x * 2)}

= {(1 * x * 3 * x) + (1 * x * 1 * 2)}

Rearranging like terms

= {(1 * 3 * x * x) + (1 * 1 * 2 * x)

= [{(1 * 3) * (x * x)} + {(1 * 1 * 2) * x)}]

= {(3 * x²) + (2 * x)}

= (3x²) + (2x)

= 3x² + 2x

Answer 2

`3 {x}^(2) + 2x`

Explanation:

Expanding brackets means multiplying every term inside the bracket by the term on the outside and then collecting like terms with the aim of removing the set of brackets

`x(3x + 2) = 3 {x}^(2) + 2x`