4(a ⋅ b) = (4 ⋅ a)b is an example of which algebraic property?

Associative property

Step-by-step explanation:

Given: 4(a ⋅ b) = (4 ⋅ a)b

Here we are multiply 3 number 4, a and b.

Associative property: It is algebra property to multiply or add three or more numbers.

So, first we have to associate two number and then multiply.

For Left side, we associate a and b.

⇒ 4(a ⋅ b)

For right side, we associate 4 and a

⇒ (4 ⋅ a)b

Here, we used associate property of algebra for multiply.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

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