Answer: 1) (x - 7)(x - 8)
2) 2x(2x-7)(x + 2)
3) (4x + 7)²
4) (9ab² - c³)(9ab² + c³)
<u>Step-by-step explanation:</u>
1) x² - 15x + 56 → use standard form for factoring
∧
-7 + -8 = -15
(x - 7) (x - 8)
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2) 4x³ - 6x² - 28x → factor out the GCF (2x)
2x(2x² - 3x - 14) → factor using grouping
2x[2x² + 4x - 7x - 14]
2x[ 2x(<u>x + 2</u>) -7(<u>x + 2</u>)]
2x(2x - 7)(x + 2)
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3) 16x² + 56x + 49 → this is the sum of squares
√(16x²) = 4x √(49) = 7
(4x + 7)²
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4) 81a²b⁴ - c⁶ → this is the difference of squares
√(81a²b⁴) = 9ab² √(c⁶) = c³
(9ab² - c³)(9ab² + c³)
Here we would use sohcahtoa
or toa which us tan is opposite over adjacent
use the equation
tan23 = x \ 6
the answer is 2.6 is to the tenths or 2.56 if to the hundredths
80 because tens place is two over from the right
Answer:0.4
Step-by-step explanation: