Trying to find the right answer to this..

Using the identity, (a + b) 2 = a 2 + 2ab + c 2 , we have (-a + c) (-a + c) = (-a + c) 2 = (-a) 2 + 2(-a)(c) + (c) 2 = a 2 + 2 (-ac) + c 2 = a 2 - 2ac + c 2

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Algebraic Expressions and Identities

Short Answer Type

91.

Consider the special case of Identity (IV) with b = –a. What do you get? It is related to Identity (III).

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92.

Use a suitable identity to get each of the following products.

(x + 3) ( x + 3)

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93.

Use a suitable identity to get each of the following products.

(2y + 5) (2y + 5)

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94.

Use a suitable identity to get each of the following products.

(2a - 7) (2a - 7)

121 Views

95.

Use a suitable identity to get each of the following products.

$space space space space space space space space space space space space space space space space space space space space open parentheses 3 a minus 1 half close parentheses open parentheses 3 a minus 1 half close parentheses$

92 Views

96.

Use a suitable identity to get each of the following products.

(1.1m - 0.41) (1.1m + 0.4)

97 Views

97.

Use a suitable identity to get each of the following products.

(a²+ b²) (-a² + b²)

117 Views

98.

Use a suitable identity to get each of the following products.

(6x - 7) (6x + 7)

122 Views

99.
Use a suitable identity to get each of the following products.

(-a + c) (-a + c)

Using the identity, (a + b)²= a²+ 2ab + c², we have

(-a + c) (-a + c) = (-a + c)²
      = (-a)²+ 2(-a)(c) + (c)²
                        = a²+ 2 (-ac) + c²= a²- 2ac + c²

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100.

Use a suitable identity to get each of the following products.

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