Question

Without actaul squaring, find the value of c:
(step by step)

(a) 8^2 - 7^2 = c

(b) 19^2 - 18^2 = c

(c) 35^2 - 34^2= c

(d) 136^2 - 135^2= c​

Answer 1

ANSWER:

a) 8² - 7² = 15

b) 19² - 18² = 37

c) 35² - 34² = 69

d) 136² - 135² = 271

GIVEN:

Without actaul squaring, find the value of c.

TO FIND:

The values of c

FORMULAE:

A² - B² = (A + B)(A - B)

EXPLANATION:

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a) 8² - 7² = (8 + 7)(8 - 7)

8² - 7² = (15)(1)

8² - 7² = 15

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b) 19² - 18² = (19 + 18)(19 - 18)

19² - 18² = (37)(1)

19² - 18² = 37

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c) 35² - 34² = (35 + 34)(35 - 34)

35² - 35² = (69)(1)

35² - 34² = 69

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d) 136² - 135² = (136 + 135)(136 - 135)

136² - 135² = (271)(1)

136² - 135² = 271

_______________________________

The values of c in

a) 15

b) 37

c) 69

d) 271

Answer 2

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