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How do you factor ax ay-bx-by?

Updated: 4/28/2022
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(a - b)(x + y)

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Q: How do you factor ax ay-bx-by?
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How do you factor ax-xb-ay plus yb?

Recall distributivity a(b + c) = ab + ac = (b + c)a and associativity (ab)c = a(bc) (a + b) + c = a + (b + c) as well as commutativity ab = ba a + b = b + a we are gonna need those. See for yourself when I applied each to learn the trick: ax - bx - ay + yb = (ax - bx) + (-ay + yb) = x(a - b) + -y(a - b) = (x - y)(a - b)


Can a factor of a number be greater than the number?

No, unless you're factoring negative numbers. (For example, -36 = -1 x 36.) But a positive number cannot have a factor greater than it. The reason why is that if a larger number times something is a smaller (positive) number, that "something" must be between 0 and 1: a > b > 0 (where a and b are positive whole numbers) ax = b (for some x) Therefore, a > ax > 0. Dividing by a: 1 > x > 0, so x cannot be a whole number.


How do you write a parabola in standard form?

y = ax^2 + bx + c


Program to find GCF and LCM of 2 numbers in 8086?

This is my program, and it works with all no.s except multiples of 2. org 100h MOV CX,0000H MOV DS,CX MOV SS,CX MOV SI,5000H MOV DI,5002H MOV [ DS:SI ],10H MOV [ DS:DI ],20H MOV SP,600FH MOV BX,[ DS:SI ] CMP BX,[ DS:DI ] JZ E1 JC SMALL THIK: MOV BX,0001H OK: MOV AX,[ DS:SI ] MOV DX,0000H DIV BX CMP DX,0000H JZ L1 L2: INC BX CMP [ DS:DI ],BX JC HCF JMP OK SMALL: MOV AX,[ DS:DI ] MOV [ DS:DI ],BX MOV [ DS:SI ],AX JMP THIK L1: MOV AX,[ DS:DI ] DIV BX CMP DX,0000H JNZ L2 PUSH BX INC CX JMP L2 HCF: MOV AX,0001H AGAIN: POP BX MUL BX DEC CX JNZ AGAIN LCM: MOV BX,AX MOV AX,[ DS:SI ] MUL [ DS:DI ] DIV BX E1 : INC DI INC DI MOV [ DS:DI ],AX ret


What is the answer to page 141 in algebra with pizzazz?

I think it is "It Is Part Ridges"

Related questions

Factor the following expression ax plus ay minus AZ?

ax + ay - AZ = a(x + y - z)


What is factor ax plus ay plus AZ?

a(x + y + z)


Factor the following expression ax plus ay-az?

a(x + y - z)


What is the factor of 3a plus ax plus 3b plus bx?

3a+ax+3b+bx = 3(a+b)+(a+b)x = (a+b)(3+x)


How do you factor ax plus bx plus 3a plus 3b?

(x + 3)(a + b)


What is ax times ax?

(ax)(ax) = a2 + 2ax + x2


How do you factorise a linear?

A linear expression can only have a numeric factor that can be "taken out". The expression will be of the form ax + b where a and b are numbers that have k as their highest common factor (HCF). That is, a = k*c and b = k*d Than being the case, ax + b = kcx + kd = k*(cx + d)


What is a grouping factor for polynomial x3 ax 3a 3x2?

x3 + ax + 3a + 3x2 = x (x2 + a) + 3 (a + x2) = x (x2 + a) + 3 (x2 + a) = (x2 + a)(x + 3) Checking the work: x3 + ax + 3x2 + 3a or x3 + 3x2 + 3a + ax = x2 (x + 3) + a (3 + x) = x2 (x + 3) + a (x + 3) = (x + 3)(x2 + a)


How is a Michigan ax different from other styles of ax?

The difference is in the shape of the head of the ax.


What is the homonym of ax?

The homonym of "ax" is "acts." "Ax" is a tool used for chopping, while "acts" refers to actions or performances.


How do you factor perfect square trinomials?

A perfect trinomial must be of the form a2x2 ± 2abxy + b2y2 and this factorises to (ax ± by)2.


When is a binomial a factor of a polynomial?

Suppose you have a polynomial, p(x) = a0 + a1x + a2x^2 + a3x^3 + ... + anx^n then (ax - b) is a factor of the polynomial if and only if p(b/a) = 0