Math, asked by sp8780829, 3 months ago

Find the Value of

( 1 ) 26 × 26 – 25 × 25 = ______

( 2 ) 163 × 163 – 162 × 162 = _____​

Answers

Answered by kailashmannem
79

 \huge{\bf{\green{\mathfrak{Question:-}}}}

  •  \textsf{Find the Value of}
  • ( 1 ) 26 × 26 – 25 × 25 = ______
  • ( 2 ) 163 × 163 – 162 × 162 = ______

 \huge {\bf{\orange{\mathfrak{Answer:-}}}}

  •  \textsf{( 1 ) 26 * 26 - 25 * 25 =}

  •  \textsf{676 - 625}

  •  \boxed{\textsf{51}}

  •  \textsf{( 2 ) 163 * 163 - 162 * 162 =}

  •  \textsf{26,569 - 26,244}

  •  \boxed{\textsf{325}}

 \huge{\bf{\red{\mathfrak{Conclusion:-}}}}

  •  \boxed{\therefore{\textsf{26 * 26 - 25 * 25 = 51}}}

  •  \boxed{\therefore{\textsf{163 * 163 - 162 * 162 = 325}}}

Answered by amitnrw
3

Given : ( 1 ) 26 × 26 – 25 × 25 = ______

( 2 ) 163 × 163 – 162 × 162 = _____​

To Find : Value

Solution:

( 1 ) 26 × 26 – 25 × 25 = ______

= 26²  - 25²

a² - b² = (a + b )(a - b)

a = 26

b = 25

= (26 + 25)(26 - 25)

= (51)(1)

= 51

26 × 26 – 25 × 25  = 51

( 2 ) 163 × 163 – 162 × 162 = _____​

= 163²  - 162²

a² - b² = (a + b )(a - b)

a = 163

b = 162

= (163 + 162)(163 - 162)

= (325)(1)

= 325

163 × 163 – 162 × 162 =325

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