Question

Using identities, evaluate the follows 159²-49² 2 103 X 104​

Answer 1

Answer:

1:200 2:10712

Step-by-step explanation:

2 (100 + 3) (100+4)

100 ka square + (3+4)100 +4×3

10000+ 700+ 12

10712

Answer 2

Answer:

1) 22880

2) 10712

Step-by-step explanation:

1) 159² - 49²

using identity: a²- b² = (a+b)(a-b)

159²- 49² = (159 - 49)(159 + 49)

= 110 × 208

= 22880

2) 103 × 104

103 × 104 = (100 + 3)(100 + 4)

using identity: (x + a)(x + b) = x² + (a + b)x + ab

(100 + 3)(100 + 4) = 100² + (3 + 4)100 + 3×4

= 10000 + 700 + 12

= 10712