Name: Chapter: 3 1. a) Expand and simplify (3c+2) (3c+2) 2. a) Factor 2g²-9g-5 Lessons # 3.6, 3.7, and 3.8 b) Expand and simplify (8p+4) (7p-5) b) Factor 25x² + 58x + 16 3. a) Expand and simplify (4d-1) (5d² +12d-3) b) Expand and simplify (6p+3)(6p-7)+ (7p-4) (p-2) 4. Each shape is a rectangle. Write the expression of a polynomial, in simplified form, to represent the area of the shaded region. 5. Factor the following special polynomials (perfect square trinomials and difference of squares) a) 9x² + 18x + 36 b) 9c²-12c +4 c) 25y²-81 d) 49s²-64t²

Q: (3a − 6b) − (2a − 8b)

A:

Q: What is the quotient when 2x5+ 11x + 9x³ - 15x2 + 10x- 2 is divided by x2 + 3x - 1? В. 2х3 + 17x2-…

A: when 2x5+11x4+9x3-15x2+10x-2 is divided by x2+3x-1

Q: Explain how to use our definition of multiplication to interpret 34 × 27 in terms of an array of…

A: Given: To explain how to use the definition of multiplication of interpreting 34 x 27 in terms of an…

Q: 6y(5y-6)-5(5y-6)^2 factor

A: Factor the given expression.

Q: Select the expression equivalent to (4x + 3) + (-2x + 4) a) -2x + 12 b) -8x + 12 c) 6x + 7 d) 2x + 7

A:

Q: 7(3x-2)+4x-10 in simplest form

A: To write the given equation in simplest form: Equation is 73x-2+4x-10

Q: 6 Find mLABE. (3x +4) (5x-2)*

A:

Q: Multiply:

A:

Q: Chapter 6 11) Find the product (3 + 3x) (-4 + 3x)

A: Topic = Algebra As per guidelines , At a time only one question can be answered. Please repost for…

Q: 5. Multiply (5x + 1)(4x – 3) 6. Find the product of (5x - 2)(5x + 2).

A: I have done solution step by step in detail.,go through the solution

Q: How do we multiply two polynomials if neither is a monomial? For example, consider (3x + 7)(x² + 4x…

A: To Multiply the polynomials:(3x+7)(x2+4x+5)

Q: Find the product of the two binomials  (6-7x)(5+4x)= (simplify your answer)

A:

Q: 8(8v-4c-7)

A:

Q: (3x+2)2+5(3x+2)+6

A: Given that, the expression is

Q: Choose the property of addition that j (6+a)+5=6+(a+5)

A: The given addition 6+a+5=6+a+5. We have to find the property of addition that represents the given…

Q: 8+4x a. 2 (3x+5) b. 2 (4+2X C. 2x (4 + 2)

A: We have to find that which term is equal to 8+4x. So  A) 2(3x+5)= 6x+10 So this is not equal

Q: R. (3x + 5) (91- 17)*

A: We know sum of opposite interior angles of parallelogram is equal to 180°

Q: When expanding two binomials, is the result always a trinomial? Explain

A: No. See the attachment

Q: Find the 4th term ( 2x + 3)4

A:

Q: Multiply (9a - 4)² 81a-72a+ 16 9a2- 72a+16

A: Given : (9a - 4)2

Q: What is left inside the parenthesis after factoring 4 from (12x+4)? A) (3x+1) B) (3x) C) (12x+1)

A: What is left inside the parenthesis after factoring 4 from (12x+4)

Q: 2. Simplify. a) (24m +3n)/ (2-2m+2n) b) (3x ²)²(3x²) c) 8x²y/32xy

A: Some formula:   (1)        ax/ay   =   ax-y(2)        ax·ay   =   ax+y(3)      ( ax)y   = axy

Q: 7.) Simplify: 4x + 8x + 2(1 - 3g) + 8( g+ 2)

A:

Q: Determine the value of 4A+10B if 8x2 + 18x + 6 A Cx + B (x – 1)(x+1)2 x - 1 (æ +1)2

A: Simplify and take the suitable value of x such that A , B & C can be calculated easily.

Q: 5) (4x3 – 7x) (2x - 1)

A: Simplify Taking x common

Q: 7(3x+4)

A: Given expression is,

Q: 5x45 loxt5x19

A: A monomial is an expression with only one term including in it.

Q: (8-p)(2-5p+6p2) Multiply?

A: Multiply

Q: Factor the equation 35k2 - 22k + 3.

A: The given equation is: 35k2-22k+3

Q: 1) Factor completely: 4x2- 814   2) Simplify by expanding brackets and collecting like terms (3x…

A:

Q: How do I multiply (60+5)squared by using the bionmial squares pattern, (a+b)2=a2+2ab+b2?

A:

Q: 1) Factor completely: n2- 2mn- 3m2 2) Expand and simplify by collecting like terms: -3…

A:

Q: 3.5 Factorise the following a) 2x(a-2b)-y(a-2b) b) 4x² 25

A: Given :(a) 2x(a-2b)-y(a-2b)(b)  4x2-25

Q: Write 1024x'0 – 3840x³ + 5760x“ – 4320x+ + 1620x² – 243 in the form (a + b)". Show your steps.

A:

Q: (10x-3+722) + (22 – 2x + 17) A 8x2 +9x +10 B 11x + 8+10x C 8x2 + 8x +15 D 10x² + 24x – 3

A:

Q: Find the product (2x + 3)(2x + 4)

A:

Q: 1) Add 3x3 – 4x +7 and -8x3 -9x + 2

A:

Q: Which of the following do we need to multiply the second equation by -1 first, then combine?…

A: To choose the correct option