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3 years ago

5

When does order matter when writing algebraic expression

1 answer:

Anni [7]3 years ago

4 0

Think of PEMDAS. Solve in this order. Parentheses, Exponent, Multiply, Divide, Add, Subtract. Solving in this order will get you to the right answer. If you try to just solve from left to right, you may get it wrong if it is not solved in that order.

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The answer should be 22.5

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2 years ago

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2 years ago

What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?

SOVA2 [1]

Answer:

$12x^3+102x^2+114x-84$

Step-by-step explanation:

<u>Given polynomials</u>:

$\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}$

Factor the polynomials:

<u>Polynomial 1</u>

$\implies 6x^2+39x-21$

$\implies 3(2x^2+13x-7)$

$\implies 3(2x^2+14x-x-7)$

$\implies 3[2x(x+7)-1(x+7)]$

$\implies 3(2x-1)(x+7)$

<u>Polynomial 2</u>

$\implies 6x^2+54x+84$

$\implies 6(x^2+9x+14)$

$\implies 6(x^2+7x+2x+14)$

$\implies 6[x(x+7)+2(x+7)]$

$\implies 6(x+2)(x+7)$

$\implies 2 \cdot 3(x+2)(x+7)$

The lowest common multiplier (LCM) of two polynomials a and b is the <u>smallest multiplier</u> that is <u>divisible</u> by both a and b.

Therefore, the LCM of the two polynomials is:

$\implies 2 \cdot 3(x+7)(x+2)(2x-1)$

$\implies (6x^2+54x+84)(2x-1)$

$\implies 12x^3+108x^2+168x-6x^2-54x-84$

$\implies 12x^3+102x^2+114x-84$

8 0

2 years ago

Read 2 more answers