24. Differentiate each of the following with respect to x. Simplify fully when indicated 1 (a)_y=x²³ - +6 +e³ (c) y=(x²+2)²(1-3x)³ (b) (d) y = (x²-3x) ¹0 y = = x² + 2 2 x² +1 (simplify fully)

Q: how does b2 = b1 + 2(x/2)

A:

Q: [ 2x(9-8)] x 2 divided by 4+3

A:

Q: 1.Simplify: -2xy[6x² + {-6x³y – 2x²y – 2[2xy – x(3x²y– 3x – 2y) - 3x²] + 2x(xy)}– 3x²] a.

A: Topic:- Algebra

Q: Evaluate the following 1. V(x³8x²5x+1)

A: Given : fx=x3-8x2-5x+1 Evaluate : ∇x3-8x2-5x+1 Note : According to the guideline we are  suppose to…

Q: ∫x2(x3-1)11dx

A: Given, ∫x2(x3-1)11dx We can solve it by substitution method

Q: Simplify 1/2 + 2/3 x 5/12

A: First, we need to identify the operations in the given expression. We have addition (+) and…

Q: What is y=2/3x + 4 writen in standard for ? using integer coefficients

A:

Q: 8. Multiply the following: a. (x3)(x2) = b. (x7)(x10) = c. (2s4)(-6s5) = d. (-30x)(3x) =

A:

Q: x/2+x/5=5/4

A: Given,

Q: (4x−y) ⁹

A: To find the 5th term of the following binomial expansion.4x-y9

Q: 6. Expand and simplify: (3x +2y)4 Show all intermediate steps.

A:

Q: 3/4 x4/5 x 2/3

A: Given that,     34×45×23

Q: (3/4xy3)(1/2x6y6) simplify your answer   y to third power x six power  y six power

A:

Q: Find the x3 term in (x-1) (2x-2)4   4=n, 5 terms

A:

Q: X/6-1/3=1/2

A:

Q: simplify 3(1 + x)A - x(1 + x)-2/3 83. (1 + x):/ (7 – 3x)2 +x(7 – 3x)-1/2 84. 7- 3x

A: We have to  simplify given expression.

Q: 5) Simplify: 10x ³/4 x 5x1/4x1/6 3/4-1/12

A: According to question,Given expression,10 x34x-1125x-14x-16

Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

A:

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

A:

Q: 1. Divide (x³x² - 2x + 2) by (x - 1) 23 k Multiply to check your result. 2x 2 8 1

A: Divide the above question

Q: 1/3 x 3 + 7

A: Using bodmas  First bracket then division then multiplication

Q: 5/4x + 3 = 1/4 + 1/4x

A: Given,  The equation is,               .

Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: 18. Simplify: 3 4 + 2 X 1 2 3x X

A: To simplify the following expression.

Q: (1-3x)/4)=(x+6/3)+1/2

A: LCM of 4,3,2 is = 12We multiply both side by 12 and distribute.

Q: 2. Simplify the following polynomials: a) (x²-3x² + 5x-9) + (4x³ - 5x² - 8x +11) b) (3xyz - 4x² + 8)…

A: For solving this kind of problem we need to add same power of terms and simplify the equation.

Q: Simplify V(5/2)=(4/3)(pi)(r)^3 and V(4r)=(4/3)(pi)(r)^3

A: We need to find the volume of a sphere with (A) radius = 5/2 units and (B) radius = 4r units.We know…

Q: find X far 1o93(X=6x) = 3 STOBLRRY

A: Given: log3x2-6x=3

Q: Simplify each of the following: 2 1 5. X3 X5 • (1996 (49a8b¹0)2 1 2n (хпуп) 1 1 ((x^yn)"

A:

Q: 2 4 E (x² + 2)V4 – x² dx 3

A: Let's find.

Q: simplify completely 1/x -4/x2 /1-16/x2

A: First of all, consider the given expression.Make two assumptions.

Q: Find two First terms whose product is 8x. 10x 3三 (8x )(x &x2 10x 3三 (4x )(2x

A: Given  8x2-10x-3 To find two terms whose product is 8x2.

Q: x) = (1/3)x - 6

A: