(a) Factorise 4au+24 av-5bu-30 bv

Question

(a) Factorise  4au+24 av-5bu-30 bv

Bytelearn · Accepted Answer

Identify Common Factors: Step Title: Identify Common Factors Concise Step Description: Look for common factors in each term of the expression. Step Calculation: The expression can be divided into two groups: (4au + 24 av) and (-5bu - 30 bv). In the first group, 4a is a common factor, and in the second group, -5b is a common factor. Step Output: Common factors identified are 4a for the first group and -5b for the second group.Factor Out Common Factors: Step Title: Factor Out the Common Factors Concise Step Description: Factor out the common factors from each group. Step Calculation: Factoring out 4a from the first group gives 4a(u + 6v). Factoring out -5b from the second group gives -5b(u + 6v). Step Output: Factored groups are 4a(u + 6v) and -5b(u + 6v).Combine Like Terms: Step Title: Combine Like Terms Concise Step Description: Combine the factored groups since they have a common factor of (u + 6v). Step Calculation: The expression can now be written as (4a - 5b)(u + 6v). Step Output: Combined expression is (4a - 5b)(u + 6v).

(a) Factorise $4 a u+24 a v-5 b u-30 b v$

Full solution

More problems from Factor polynomials

Related topics

(a) Factorise 4au+24av−5bu−30bv 4 a u+24 a v-5 b u-30 b v 4au+24av−5bu−30bv

(a) Factorise $4 a u+24 a v-5 b u-30 b v$