Answer:
Step-by-step explanation:
7) 2ab + 4ac = 2*a*b + 2 *2 *a*c
= 2a(b + 2c)
8) ac - a²c² = c( a - a²c)
bc - abc = c(b - ab)
9) b²+ 4b - 5 = b² + 5b - 1b - 5
= b(b + 5) - 1(b + 5)
= (b +5)(b - 1)
b² + 8b + 15 = b² + 5b + 3b + 15
= b(b + 5) + 3(b + 5)
= (b + 5 )(b + 3)
First, I would multiply the last two fractions because they're smaller and easier to work with:
Now that we've simplified it, we could multiply these terms and simplify. An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:
We can now multiply these terms:
The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
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Answer:
7
Step-by-step explanation:
The required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number. This can be obtained by assuming the number as x, converting the given conditions to algebraic expression, forming algebraic equation and solving for x.
<h3>Find the required number:</h3>
Here in the question it is given that,
- The result is -15 less than the number
We have to find the required number.
Let the required number be x.
⇒ -2 is added to the number ⇒ -2 + x
⇒ the sum is doubled ⇒ 2(-2 + x)
⇒ the result is -15 less than the number ⇒ 2(-2 + x) = x -(-15)
2(-2 + x) = x + 15
⇒ - 4 + 2x = x + 15
⇒ x = 19
Hence the required number is 19 given that -2 is added to a number, the sum is doubled and the result is -15 less than the number.
Learn more about algebraic expression and equation here:
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