A. 4y(2y + 5) = 4y(2y) + 4y(5) = 8y² + 20y
B. 7a(3a + 8b) = 7a(3a) + 7a(8b) = 21a² + 56ab
C. 13x³(3y + 2x²) = 13x³(3y) + 13x²(2x²) = 39x³y + 26x⁴ units²
D. 7m²(3m - 5) = 7m²(3m) - 7m²(5) = 21m³ - 35m² units²
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Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x - 
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
No, it is not a perfect cube. A perfect cube is a number that is obtained when you cube an integer. For example, 8 (cube of 2), 27 (cube of 3) and 64 (cube of 4). Since -3 cannot be obtained by cubing an integer, it is not a perfect cube.
Triangle mpr triangle nad by aa
