Use the given values to verify the formulae for squares of binomials. i. a = -7, b = 8 ii. a = 11,b = 3 iii. a = 2.5,b = 1.2

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Use the given values to verify the formulae for squares of binomials.

i. a = -7, b = 8

ii. a = 11,b = 3

iii. a = 2.5,b = 1.2

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i. (a + b)= (-7 + 8)

= 1

= 1

a+ 2ab + b= (-7)+ 2 x (-7) x 8 + 8

= 49 – 112 + 64

= 1

∴(a + b)= a + 2ab + b

(a – b)= (-7 – 8)

= (-15)

= 225

a– 2ab + b= (-7) – 2 x (-7) x 8 + (8)

= 49 + 112 + 64

= 225

∴(a – b)= a – 2ab + b

ii. (a + b)= (11 + 3)

= 14

= 196

a+ 2ab + b= 11+ 2 x 11 x 3 + 3

= 121 + 66 + 9

= 196

∴(a + b)= a+ 2ab + b

(a – b)= (11 – 3)= 8

= 64

a– 2ab + b= 11– 2 x 11 x 3 + 3

= 121 – 66 + 9

= 64

∴(a – b)= a – 2ab + b

iii. (a + b)= (2.5 + 1.2)

= 3.7

= 13.69

a+ 2ab + b= (2.5)+ 2 x 2.5 x 1.2 + (1.2)

= 6.25 + 6 + 1.44

= 13.69

∴(a + b) = a+ 2ab + b

(a – b)= (2.5 – 1.2)

= 1.32

= 1.69

a– 2ab + b= (2.5)– 2 x 2.5 x 1.2 + (1.2)

= 6.25 – 6 + 1.44

= 1.69

∴(a – b)= a– 2ab + b