If a2 − b2 = 36 and a + b = 4, then (a − b) 2 =__________.(a) 36 (b) 9(c) 81 (d) 144

Question

If a2 − b2 = 36 and a + b = 4, then (a − b) 2 =__________.(a) 36 (b) 9(c) 81 (d) 144
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To solve this problem, we can use the given equations and algebraic manipulation.

  1. Start with the equation a^2 - b^2 = 36.
  2. Notice that this equation can be factored as (a + b)(a - b) = 36.
  3. We are also given that a + b = 4.
  4. Substitute this value into the factored equation: (4)(a - b) = 36 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

If a2 − b2 = 36 and a + b = 4, then (a − b) 2 =__________.(a) 36 (b) 9(c) 81 (d) 144

If a, b and c are in continued proportion, then a2 :  b2 isA a2 :  c2 B a : b C a : c D b : c

If a2 +  b2 + 49c2 + 18 = 2(b - 28c - a) then the value of (a + b - 7c) is:4321

f a, b, and c are three real numbers such that a + b = c – 1 and ab = c2 – 7c + 14, then what is the largest possible value of (a2 + b2 –2)?

If average of a,b,c is m and (ab+bc+ca)=0, then the average of a2,b2,c2 is :m23m29m2m

1/3