Step-by-step explanation:(B) STEP 1 : Equation at the END of step 1  ((64 • (a2)) -  48ab) +  32b2 STEP  2 : Equation at the end of step 2 :  (26a2 -  48ab) +  32b2 STEP 3 : Trying to factor a multi variable polynomial 3.1    Factoring    64a2 - 48ab + 9b2   Try to factor this multi-variable trinomial using trial and error   Found a factorization  :  (8a - 3b)•(8a - 3b) Detecting a perfect square : 3.2    64a2  -48ab  +9b2  is a perfect square   It factors into  (8a-3b)•(8a-3b) which is another way of writing  (8a-3b)2 How to recognize a perfect square trinomial:   • It has three terms   • Two of its terms are perfect SQUARES themselves   • The remaining term is TWICE the product of the square roots of the other two termsFinal result :  (8a - 3b)2 (D)   STEP 1 : Equation at the end of step 1  ((a2) +  22ab) +  112b2 STEP 2 : Trying to factor a multi variable polynomial 2.1    Factoring    a2 + 22ab + 121b2   Try to factor this multi-variable trinomial using trial and error   Found a factorization  :  (a + 11b)•(a + 11b) Detecting a perfect square : 2.2    a2  +22ab  +121b2  is a perfect square   It factors into  (a+11b)•(a+11b) which is another way of writing  (a+11b)2 How to recognize a perfect square trinomial:   • It has three terms   • Two of its terms are perfect squares themselves   • The remaining term is twice the product of the square roots of the other two terms Final result :  (a + 11b)2