State the Special Product Formulas used for expanding the given expression. (i) (a + b)? (iv) (a – b) (ii) (a – b)? (v) (a + b)(a - b) (iii) (a + b)3 Use the appropriate formula to expand (x + 5)2 and (x + 5)(x - 5).

Q: The_______ ______ can be used to expand expressions like (2x + 3)6 .

A: The_______ ______ can be used to expand expressions like (2x + 3)6 .

Q: Determine which of the expressions are equivalent. Equivalent Expressions : (2x + 10) + ( 4x² +4 –…

A: Given information: The expressions are2x2+10+4x2+4-25x, x2-19x-2+7x2-6x+16, 10x2+11-x-24x+4x2-3,…

Q: Combine the like terms for problems 1-3. 1. (x + 4) + (2x – 11) 2. (3a2 – 9x + 2) + (8x2 – 10x - 3)…

A: Since you have posted multiple questions i can do first question (1-6) as per our company guidelines…

Q: Please answer these questions simply and in a way that I can understand.  Question: Expand the…

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Q: (x – 4)(x – 5) x?+9x + 20 x²+x - 20 (x+ 4)(x + 5) x2-x- 20 x2- 9x + 20 (x + 4)(x – 5) (x- 4)(x + 5)

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Q: How do you simplify the following expression? -3x(1/2(3x-2y) - 2(x(3+y) + 4y))

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Q: Multiply the following. (4x- 3) (х -х+9) (4x - 3) (x³ - x + 9) (Simplify your answer.)

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Q: Simplify the expression. (It is not necessary to expand the denominator.) 3x + 4\2[(7x + 5)(3) -…

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Q: Find a simplified expression for the product (x + 5)(x + 2).

A: Given: x+5x+2

Q: Simplify the expression. (It is not necessary to expand the denominator.) (1 + 8x2)2(9) – 2(1 +…

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Q: Match the following with their expanded form: (5x + 5)(2x – 3) 10x?- 25x + 15 10x?+ 25x + 15 (5x –…

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Q: (a)  Convert the following general expressions to standard SOP form:                           ABC…

A: given general expression is                                              ABC+(A+B)(B+C+AB)

Q: Simpliry the (1 + 6x2)?(9) – 2(1 + 6x²)(12x)(9×) (1 + 6x2)4

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Q: Simplify the expression. (It is not necessary to expand the denominator.) (x2 + 1)2(-9) - 2(x2 +…

A: To simplify the expression: (x2+1)2(-9)-2(x2+1)(2x)(-9x)(x2+1)4

Q: Write equivalent expressions with the LCD as denominators. x - 2 x2 + 4x + 3 1 x? + x – 6 x - 1 x -…

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Q: Will these expressions be equal when simplified? Explain. (x-5x2)(2x + 3) + (x2- 4x) and (x2- 4x) +…

A: Given,           x3-5x22x+3+x2-4x and x2-4x+2x+3x3-5x2

Q: What is (7x2 - 4) + (6x3 - 4x-x4) written in standard form ? O A. -4-4x + 7x² + 6x3 x4 OB. 4(-4-x) +…

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Q: • 3. 3 (x- 2)+ 4 ( x – 2 ) – 5 ( x – 2)

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Q: x2-5x- 24 Express the quotient - 11x+ 24 2x2 + 7x+ 3 x² +x-12 in simplest form.

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Q: Consider the expression 3 3x-2x² +5x 5x +3

A: Given:  Consider the expression 3x3-2x2+5x5x3+3. To Find:  To divide the numerator and denominator…

Q: 8. Kanishan is trying to understand the following problem. 2x(x² – 3x) – 4(x³ + 2x²). His friend…

A: To simplify the below expression fully: 2x(x2-3x)-4(x4+2x2)

Q: Simplify the expression.

A: We have to simplify the expressions: (a)  z2z4z3z-1(b)  2a3a24(c)  -3z232z3 (a)…

Q: 1. Expand and simplify each expression. a) (8x – 3) (6x + 7) b) 3(2x + 1) – 2(x -5)?

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Q: Multiply the binomial. (7x² - 9y²) (x² - 9y²) (7x² - 9y²) (x² - 9y²) =0 (Simplify your answer.)

A: Given binomial is : 7x2-9y2x2-9y2 To find the multiplication of given binomial.

Q: Simplify the expression. (It is not necessary to expand the denominator.) (x2 + 1)2(-3) – 2(x2 +…

A: We have to solve the expression.

Q: In//x2 + 1 | 1 In]x² + 1| 2

A: Concept: We can use property of logarithm : ln(m) n  =  n. ln(m)  We can convert given expression…