A2 − 16 ⋅ a2 − 3a
a2 + 3a a2 − 8a + 16

(a - 4) • (3a + 4)

Step-by-step explanation:

step-1: Multiply the coefficient of the first term by the constant   3 • -16 = -48

Step-2 : Find two factors of  -48  whose sum equals the coefficient of the middle term, which is   -8 .

     -48    +    1    =    -47

     -24    +    2    =    -22

     -16    +    3    =    -13

     -12    +    4    =    -8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  4

                    3a2 - 12a + 4a - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3a • (a-4)

             Add up the last 2 terms, pulling out common factors :

                   4 • (a-4)

Step-5 : Add up the four terms of step 4 :

                   (3a+4)  •  (a-4)

            Which is the desired factorization

Final result :

 (a - 4) • (3a + 4)

Terms and topics

More Icon

Canceling out

-15a(exponent)2-3aa(exponent)2+3a(a-4)exponent 2

Step-by-step explanation:

answer: two five pound bags one two pound

step-by-step explanation: