To solve this expression, let's break it down step by step:
Step 1: Evaluate 135 squared (135²) To find the square of 135, you multiply it by itself. So, 135² = 18,225.
Step 2: Evaluate 135 multiplied by 150 (135 × 150) To find the product of 135 and 150, simply multiply the two numbers together. So, 135 × 150 = 20,250.
Step 3: Evaluate 75 squared (75²) To find the square of 75, you multiply it by itself. So, 75² = 5,625.
Step 4: Substitute the values into the expression and perform the operations Now we can substitute the values we calculated into the original expression: 18,225 - 20,250 + 5,625.
To simplify further, let's add and subtract these values:
18,225 - 20,250 + 5,625 = -6,675
Therefore, 135² - 135 × 150 + 75² = -6,675.
