Question

Evaluate

304× 296

by using suitable identity​

Answer 1

Answer:

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89,984

Using the identity - (a + b) × ( a - b) = a² - b²

Explanation -

304 × 296

304 = 300 + 4

296 = 300 - 4

Therefore,

304 × 296 = (300 + 4) × (300 - 4)

Using the formula -

(a + b) × (a - b) = a² - b² we can answer the question

Therefore,

(300 + 4) × (300 - 4) = (300)² - (4)²

= 90,000 - 16

= 89,984

Hence, 304 × 296 = 89,984

Answer 2

Explanation:

89,984

89,984Using the identity - (a + b) × ( a - b) = a² - b²

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -(a + b) × (a - b) = a² - b² we can answer the question

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -(a + b) × (a - b) = a² - b² we can answer the questionTherefore,

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -(a + b) × (a - b) = a² - b² we can answer the questionTherefore,(300 + 4) × (300 - 4) = (300)² - (4)²

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -(a + b) × (a - b) = a² - b² we can answer the questionTherefore,(300 + 4) × (300 - 4) = (300)² - (4)²= 90,000 - 16

89,984Using the identity - (a + b) × ( a - b) = a² - b²Explanation -304 × 296304 = 300 + 4296 = 300 - 4Therefore,304 × 296 = (300 + 4) × (300 - 4)Using the formula -(a + b) × (a - b) = a² - b² we can answer the questionTherefore,(300 + 4) × (300 - 4) = (300)² - (4)²= 90,000 - 16= 89,984

Hence, 304 × 296 = 89,984

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