Expand (x - 7) (6-x)

Explanation

1. Write the expression.
   • (x − 7)(6 − x)
2. Multiply the first terms in each bracket, then the outer terms, the inner terms and finally the last terms.
   • = x × 6, x × −x, −7 × 6, −7 × −x
3. Remove the brackets by multiplying each term in the brackets by the term outside the bracket. Remember to change the sign when the term outside the bracket is negative.
   • = 6x − x² − 42 + 7x
4. Collect like terms.
   • = −x² + 13x − 42