1. factor the expression 36a^4b^10-81a^16b^20 using the two different techniques listed for parts 1(a) and 1(b). (a) factor the given expression using the gcf monomial. (b) factor the given expression using the difference of squares

the expression given is :

→ factor of 36 = 2 ×2×3×3 ×a×a×a×a×b×b×b×b×b×b×b×b×b×b

→ factor of = 3 × 3×3×3 ×

common factor i.e g c f= 3 × 3 ×

                                            = 9

(b)

using [a² - b²= (a-b)(a+b)]

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: