Question

Simplify the expression.

2(x+4(2x−5))

Answer 1

18x−40

i took the test

Answer 2

`\boldsymbol{\sf{2(x+4(2x-5)) }}`

Apply the multiplicative law of distribution.

`\boldsymbol{\sf{2(x+4*2x-4*5) }}`

Multiply the monomial.

`\boldsymbol{\sf{2(x+8x-4*5) }}`

Calculate the coefficient or the product.

`\boldsymbol{\sf{2(x+8x-20) }}`

Rearrange like terms.

`\boldsymbol{\sf{2((x+8x)-20 }}`

Collect like terms by adding their coefficients.

`\boldsymbol{\sf{2((1+8)* x-20) }}`

Collect the first two terms.

`\boldsymbol{\sf{2(9x-20) }}`

Apply the multiplicative law of distribution.

`\boldsymbol{\sf{2*9x-2*20 \longmapsto \ \left \{ {{2*9x=18x} \atop {2*20 \ \ \ \ \ }} \right. \to 18x-40 }}`

`\boldsymbol{\sf{18x-40 \iff }}\boxed{\boxed{\bf{Answer}}}`