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3 years ago

It want me to type here sooo um brainleist for the one who gibs the correct answer!!

Mathematics

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Answer:

70 + 95 = 5(14 + 19)

Step-by-step explanation:

To factor the expression, 70 + 95, using the GCF, take the following steps:

✔️Find the prime factors of each number:

Prime factors of 70 = 2 × 5 × 7

Prime factors of 95 = 5 × 19

Multiply the factors that both numbers have in common to get the GCF.

This, both number have only one factor in common which is 5.

Therefore, the GCF of 70 and 95 is 5.

✔️Factoring the experession given using the GCF, we have:

70 + 95 = 5(14 + 19)

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Verify a(b-c)=ab-ac for a=1.6;b=1/-2;& c=-5/-7

harina [27]

Given:

$a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}$

To verify:

$a(b-c)=ab-ac$ for the given values.

Solution:

We have,

$a=1.6,b=\dfrac{1}{-2},c=\dfrac{-5}{-7}$

We need to verify $a(b-c)=ab-ac$ .

Taking left hand side, we get

$a(b-c)=1.6\left(\dfrac{1}{-2}-\dfrac{-5}{-7}\right)$

$a(b-c)=1.6\left(-\dfrac{1}{2}-\dfrac{5}{7}\right)$

Taking LCM, we get

$a(b-c)=1.6\left(\dfrac{-7-10}{14}\right)$

$a(b-c)=\dfrac{16}{10}\left(\dfrac{-17}{14}\right)$

$a(b-c)=\dfrac{8}{5}\left(\dfrac{-17}{14}\right)$

$a(b-c)=-\dfrac{68}{35}\right)$

Taking right hand side, we get

$ab-ac=1.6\times \dfrac{1}{-2}-1.6\times \dfrac{-5}{-7}$

$ab-ac=-\dfrac{16}{20}-\dfrac{8}{7}$

$ab-ac=-\dfrac{4}{5}-\dfrac{8}{7}$

Taking LCM, we get

$ab-ac=\dfrac{-28-40}{35}$

$ab-ac=\dfrac{-68}{35}$

Now,

$LHS=RHS$

Hence proved.

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