1.

Multiply the monomial by the binomial and find the value of each for x = -1, y = 0.25 and z = 0.005:(i) 15y2 (2 – 3x)(ii) -3x (y2 + z2)

Answer»

(i) 15y2 (2 – 3x)

= 30y2 – 45xy2

By evaluating the values in the expression x = -1, y = 25/100 and z = 5/1000

= 30 × (25/100)2 – 45 × (-1) × (25/100)2

= 30 (1/16) + 45 (1/16)

= 15/8 + 45/16

= (30+45)/16

= 75/16

(ii) -3x (y2 + z2)

= -3xy2 + -3xz2

By evaluating the values in the expression x = -1, y = 25/100 and z = 5/1000

= -3× (-1) × (25/100)2 – 3 × (-1) × (5/1000)2

= (3×25×25/100×100) + (3×5×5/1000×1000)

= 3/16 + 3/40000

= 39/200



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