To solve the expression 3(-5) squared - (2/-5)(2 squared), let's break it down step by step:
Step 1: Simplify the squares
(-5) squared is 25, and 2 squared is 4. So the expression becomes:
3(25) - (2/-5)(4)
Step 2: Simplify the division
Dividing by a fraction is the same as multiplying by its reciprocal. So (2/-5) is equivalent to (2)(-5/1) = -10/1 or simply -10.
Now, let's plug the simplified values back into the expression:
3(25) - (-10)(4)
Step 3: Multiply
Multiply the numbers inside the parentheses:
75 - (-40)
Step 4: Solve the subtraction
Remember that subtracting a negative number is the same as adding its positive counterpart. So '- (-40)' becomes '+ 40':
75 + 40
Step 5: Add
Add the numbers together:
115
Therefore, 3(-5) squared - (2/-5)(2 squared) is equal to 115.