Question

solve: 103×104 by using (X+a)(X+b)=x ki 2+(a+b) X+ab​

Answer 1

Answer :

value of (103×104) is 10712.

Solution :

103 × 104

Where, 103 = 100 + 3 and 104 = 100 + 4

We know that, (x+a)(x+b) = x² + (a+b)x + ab

Let 100 = x, 3 = a and 4 = b,

★ Putting the values,

→ (100)² + (3+4)(100) + (3)(4)

→ 10000 + 7(100) + (12)

→ 10000 + 700 + 12

→ 10712 ( required answer )

•°• value of (103×104) is 10712.

Answer 2

Answer:

$\large\boxed{\sf{10,712}}$

Step-by-step explanation:

We have to find the value of (103 × 104)

We know tgat,

103 = 100 + 3

104 = 100 + 4

Now, let's assume that,

• x = 100
• a = 3
• b = 4

Thus, we have to calculate (x+a)(x+b)

But, also we know that,

$\sf{(x + a)(x + b) = {x}^{2} + (a + b)x + ab }$

Therefore, we get,

$\implies 103 \times 104 = {(100)}^{2} + 100 \times (3 + 4) + (3 \times 4) \\ \\ \implies103 \times 104 = 10000 + 7 \times 100 + 12 \\ \\ \implies103 \times 104 = 10000 + 700 + 12 \\ \\ \implies10 3\times 104 = 10712$

Hence, required value is 10,712