Factorize the expression [tex]21a + 28b[/tex] fully.

The expression 21a + 28b can be factorised fully by first identifying and factoring out the greatest common factor, which is 7. The fully factorised form is 7(3a + 4b).
The student has asked to factorise the expression 21a + 28b fully. To do this, we'll first look for the greatest common factor that both terms share. We can see that both coefficients, 21 and 28, have a common factor of 7. So, let's begin by factoring out the 7:
21a + 28b = 7(3a + 4b)
The expression inside the parentheses, 3a + 4b, cannot be factored further since there is no common factor between 3a and 4b. Therefore, the fully factorised form of the given expression is 7(3a + 4b).

Answered by GuyPearce | 2024-06-24

The expression 21 a + 28 b is factored fully by taking out the greatest common factor, which is 7. The fully factorized form is 7 ( 3 a + 4 b ) . The expression inside the parentheses, 3 a + 4 b , cannot be factored further.
;

Answered by GuyPearce | 2024-12-19