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3 years ago

Find the least common denominator for the pair of rational numbers.

Mathematics

1 answer:

serious [3.7K]3 years ago

7 0

Answer:

the LCD is a) (2x+1)(x-3)

Step-by-step explanation:

step 1.)

factorise: 2x²+1- 5x-3 becomes (2x+1)(x-3) when you factorise it and the 2x+1 stays (2x+1).

step 2.)

since 2x+1 are in both denominators you only write it once and don't forget to include x-3 as an LCD

therefore (2x+1)(x-3) is the LCD.

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2 years ago

Which expression is equivalent to(4x3y5)(3x5y)2?

Ivanshal [37]

ANSWER

$36{x}^{13} {y}^{7}$

EXPLANATION

The given expression is

$(4 {x}^{3} {y}^{5} )(3 {x}^{5} y)^{2}$

This is the same as:

$(4 {x}^{3} {y}^{5} )(3 {x}^{5} y)(3 {x}^{5} y)$

We multiply and also apply the law of exponents.

${a}^{m} \times {a}^{n} = {a}^{m + n}$

This will give us;

$4 \times 3 \times 3 \times {x}^{3 + 5 + 5} {y}^{5 + 1 + 1}$

This simplifies to:

$36{x}^{13} {y}^{7}$

8 0

4 years ago