Question

$24[x+1]-[x^2-24+x]-\left[2x^2\right]÷\left[x^2\right]$ using BODMAS rule to reduce the expression.

• A. $x^2+23x+46$
• B. $-x^2+23x+46$
• C. $-x^2-23x+46$
• D. $-x^2+23x-46$

Answer 1

Answer: (B)

$-x^2+23x+46$

$24[x+1]-[x^2-24+x]-\left[2x^2\right]÷\left[x^2\right]$
We need to follow BODMAS rule.
=> Brackets (parts of a calculation inside brackets always come first).
=> Orders (numbers involving powers or square roots).
=> Division.
=> Multiplication.
=> Addition.
=> Subtraction.
$=$ $24[x+1]-[x^2-24+x]-\left[2x^2\right]÷\left[x^2\right]$
$=$ $24x+24-x^2+24-x-2$
$=$ $-x^2+46+23x$
$=$ $-x^2+23x+46$