Factorise : 7a^2 +48ab - 7b^2
Answers
Answer:
7a2+14ab+7b2
Final result :
7 • (a + b)2
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "b2" was replaced by "b^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((7 • (a2)) + 14ab) + 7b2
Step 2 :
Equation at the end of step 2 :
(7a2 + 14ab) + 7b2
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
7a2 + 14ab + 7b2 = 7 • (a2 + 2ab + b2)
Trying to factor a multi variable polynomial :
4.2 Factoring a2 + 2ab + b2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (a + b)•(a + b)
Detecting a perfect square :
4.3 a2 +2ab +b2 is a perfect square
It factors into (a+b)•(a+b)
which is another way of writing (a+b)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 :
7 • (a + b)2
Processing ends successfully
Step-by-step explanation:
Step-by-step explanation:
7a^2+49ab-1ab-7b^2
7a^2+49ab-1ab-7b^27a(a+7b)-b(a+7b)
7a^2+49ab-1ab-7b^27a(a+7b)-b(a+7b)(7a-b) (a-7b)