Factor the terms until they are in their simplest form. 1. 46xy^5 2. 19n^8(y^3) 3. 62d^3(f)

Q: Factor.  5m^2 +45mn - 50n^2

A: The given expression is,

Q: Sum-product pattern: (x + a)(x + b) = x² + (a + b)x + (a*b) x²+4x-12 (x+6)(x-2) a+b=4 a-b=-12…

A: The polynomial given isTo find:The factor of the given polynomial.Formula used:

Q: find the square(p-11)^^

A: Known fact:The algebraic identity (a−b)2 = a2−2ab+b2.

Q: Factor each polynomial. 9(a-4)^{2}+30(a-4)+25

A: Factoring a polynomial is to reduce it to a product of its irreducible factor. For example x2-1 can…

Q: Write the polynomial z^4− 81 in factored form.

A: We will use the formula a2-b2 = (a+b)(a-b) Consider               z4-81 = (z2+9)(z2-9) =…

Q: Simplify C^5 square root of C

A:

Q: Subtract and simplify. (11/12t^9 −1/15t^3 − 23/6t)−(1/12t^9 −1/3t^3−11/6t)

A:

Q: Find U and V an then factor the expression 9x^2-4y^6

A: Given the expression is 9x2-4y6

Q: what is 3A^T - 2B^T

A:

Q: Factor each polynomial.   4(5 x+7)^{2}+12(5 x+7)+9

A: We have to factorize the polynomial: 45x+72+125x+7+9 Assuming t=5x+7 then polynomial would be,…

Q: The area of a rectangle is given by (8x^(2)y+12xy^(3)+4xyz) sq. units. Its length and width have no…

A:

Q: 9xy - 8xy^2

A: The given expression is,

Q: The number of paintings owned by an art museum was 200. Since this time, the collection of paintings…

A: topic - exponential function

Q: Factor c^3 - 1/125

A: Factorization

Q: (8x^9y^2)(1/2x^3y)^-2

A:

Q: Find the product. (3s+5)(4s^(2)+3s+4) Perform the division by simplifying the fract.

A:

Q: Simplify and write in standard form. (-4x^2-8x+7)+(12x-9)-(7x+2)^2. Drop the parenthesis and combine…

A:

Q: factor x^3y^6 + 8z^3

A:

Q: 4^8x=64

A: Given query is to find the value of x.

Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

A:

Q: Factorise the equation completely (x+3y)^3-(x+3y)

A: We have to factorise

Q: (3a^3)(−2a^−5)

A:

Q: Directions: Simplify each term by factoring. 1. 3rs 2. 12xy 3. 5x^2 4. 36x^2 5. 25x^2 6. 30x^2…

A: Given: 1. 3rs 2. 12xy 3. 5x^2 4. 36x^2 5. 25x^2 6. 30x^2 7. 5x^3 8. 24y^3 9. 9xy 10. 12x^4

Q: (7.2) x (10^10) + (1.8) x (10^11)

A: 7.2 x (1010) + 1.8 x(1011) = 7.2 x (1010) + 1.8 x (1010) x 10 = 7.2 x (1010) + 18 x (1010)

Q: ∫dt/√(25-16t^2 )

A: To integrate: ∫dt(25-16t2)

Q: Write the expression (x-3)^2 - 36 in factored form .    (x-3)^2-36 is written as x^2-6x-27 in…

A: Consider the given expression: