Division solutions
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This document contains solutions to three math problems: 1) Problem H involves simplifying a fraction by collecting like terms in the numerator and denominator. 2) Problem I shows cancelling common factors from the numerator and denominator of a fraction, leaving 12/q(p+1) as the simplified expression. 3) Problem J explains cancelling common factors and collecting like terms to simplify the fraction, resulting in the answer of 8(x+1)/3 without needing to expand the brackets further.
Division solutions
- 1. Number H) m +1 2 − m −1 3 m +1 5 = 3(m +1) 6 − 2(m −1) 6 × 5 m +1 = 3m +3− 2m + 2 6 × 5 m +1 = (3m − 2m)+(3+ 2) 6 × 5 m +1 Answer = 5(m + 5) 6(m +1) Number I) 3 pq × 4p p+1 You cancel out the p from the pq and from the 4p This leaves the 4 on the top without the p and the q on the bottom without the p. = 12 q(p+1) You don't need to simplify any further
- 2. Number J) Simplify: 8(x +3) 9 × 12(x +1) 4(x +3) = 8(x +3) 3 × 3(x +1) (x +3) Answer = 8(x +1) 3 In the above, we cancelled out the 2 (x +3) and the two 3's to leave us with the answer given. You don't expand the brackets out with the answer as it is simplified already.