Factor of 27x ( exponent of 3) - 125

1 answer:

8 0

$\text{Use}\ a^3-b^3=(a-b)(a^2+ab+b^2)\\\\27x^3-125=3^3x^3-5^3=(3x)^3-5^3=(3x-5)[(3x)^2+(3x)(5)+5^2]\\\\=\boxed{(3x-5)(9x^2+15x+25)}$

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3 years ago

Anna and josh are putting up lights for a party. For every 4 blue lights they put up 2 red lights. If they put up 120 lights. Ho

LUCKY_DIMON [66]

Answer:

80 blue

Step-by-step explanation:

r=red

b=blue

4b+2r=6 lights in one light cluster

120/6=20 clusters

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4 years ago

Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4

Mama L [17]

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

$\sqrt{3}x+4$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus

$a=\dfrac{1}{3}b$