Question

Use (a + b)2 = a + 2ab + b2 to evaluate the following:
(a) (3.001)
(b)1001 x 999​

Answer 1

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

To Evaluate:

1. (3.001)^2
2. 1001 * 999

Solution:

$\bold{a) (3.001)^2} \\\implies (3 + 0.001)^2 \\\implies 3^2 + 2(3)(0.001) + (0.001)^2 \\\implies 9 + 0.006 + 0.00001 \\\bold{\implies (3.001)^2 = 9.006001} \\\\\bold{b) 1001 * 999} \\\implies (1000+1)*(1000-1) \\\implies (1000^2 - 1^2) \\\implies 1000000 - 1 \\\bold{\implies 1001 * 999 = 999999}$

Formula Used:

1. $(a + b)^2 = a^2 + 2ab + b^2$
2. $(a + b)(a - b) = a^2 - b^2$

Hope It Helps!!