First, let's simplify the expression step by step:
Expand the first term using the distributive property(2a-b)(a+b) = 2a^2 + 2ab - ab - b^= 2a^2 + ab - b^2
Expand the second term using the distributive property-3(4c-1)^2 = -3(16c^2 - 8c + 1= -48c^2 + 24c - 3
Now, substitute the expanded forms back into the original expression(2a^2 + ab - b^2) - (48c^2 - 24c + 3= 2a^2 + ab - b^2 - 48c^2 + 24c - 3
Therefore, the simplified form of the expression is2a^2 + ab - b^2 - 48c^2 + 24c - 3
First, let's simplify the expression step by step:
Expand the first term using the distributive property
(2a-b)(a+b) = 2a^2 + 2ab - ab - b^
= 2a^2 + ab - b^2
Expand the second term using the distributive property
-3(4c-1)^2 = -3(16c^2 - 8c + 1
= -48c^2 + 24c - 3
Now, substitute the expanded forms back into the original expression
(2a^2 + ab - b^2) - (48c^2 - 24c + 3
= 2a^2 + ab - b^2 - 48c^2 + 24c - 3
Therefore, the simplified form of the expression is
2a^2 + ab - b^2 - 48c^2 + 24c - 3