Answer:
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Step-by-step explanation:
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Answer:
The pattern is the same when multiplying a whole number and a decimal number by a power of ten.
Step-by-step explanation:
The pattern to use when multiplying a whole number by a power of ten can be expressed as follow:
A whole number is a number without a fraction, so let say we choose 12 as a whole number, and let choose 6¹⁰ as a number with the power of ten.
To multiply these two numbers, we get;
= 12 × 6¹⁰
= 12 × 60466176
= 725594112
Now, the pattern to use when multiplying a decimal by a power of ten.
A decimal number is a number that comprises of a whole number and a fraction number that is being by a decimal point.
Let say our decimal number is 1.2 and our number raised to the power of ten is 6¹⁰
Then, To multiply these two numbers, we get;
= 1.2 × 6¹⁰
= 1.2 × 60466176
= 72559411.2
Thus, the pattern is the same when multiplying a whole number and a decimal number by a power of ten.
<em>See</em><em> </em><em>above</em><em> </em><em>information</em>
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