The special products can be used to perform selected multiplications On the left, we use (x y)(x y) x 2 y 2 On the right, (x y) 2 x 2 2xy y 2 Use special products to evaluate the expression 71 2 472 (50 3) 51 x 49 (50 1)(50 1) 502 12 502 2(50)(3) 32 2500 1 2500 300 9 2209 2499...

The special products can be used to perform selected multiplications. On the left, we use (x +

Question:

The special products can be used to perform selected multiplications. On the left, we use (x + y)(x - y) = x² - y². On the right, (x - y)² = x² - 2xy + y². 472 = (50 – 3)² 51 x 49 = (50 + 1)(50 – 1) = 502 – 12 = 502 – 2(50)(3) + 32 = 2500 – 1 2500 – 300 + 9 = 220