What is the factored form of 12a²b?

What is the factored form of 12a²b?

12a2b = 2 × 2 × 3 × a × a × b. 15ab2 = 3 × 5 × a × b × b.

What is factorization example?

Example: (x+2)(x+3) = x2+ 2x + 3x + 6 = x2+ 5x + 6. Here, 5 = 2 + 3 = d + e = b in general form and 6 = 2 × 3 = d × e = c in general form. To factorize quadratic polynomial, we shall be looking for numbers which on multiplication will get equal to c and on summation equal to b. Example: Factorize x2+8x+12.

What is a factored form?

A factored form is a parenthesized algebraic expression. In effect a factored form is a product of sums of products … or a sum of products of sums … Any logic function can be represented by a factored form, and any factored form is a representation of some logic function.

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What is the factorisation of 12x 36?

The factorisation of 12x 36 is. a- 12 (×+3)

How do you Factorise 14pq 35 PQR?

Answer

  1. Given : 14pq+35pqr.
  2. To Find : Factorize.
  3. Solution:
  4. 14pq+35pqr = 7pq ( 2 + 5r)

How do you Factorise algebraic equations?

How to Factorize Algebraic Expressions?

  1. Step 1: x2 x 2 can be factorized as x×x x × x , and 4x 4 x can be factorized as x×2×x x × 2 × x .
  2. Step 2: Find the greatest common factor of the two terms. Here, we see that x x is the greatest common factor.
  3. Step 3: Thus, the expression is factorized as x(x+4) x ( x + 4 )

What is an example of fully factored form?

A fully factored form means the given number or polynomial is expressed as a product of the simplest possible form. For example, if we write 12y2−27 = 3(4y2 −9) 12 y 2 − 27 = 3 (4 y 2 − 9), then it is not considered as fully factored form as (4y2 −9) (4 y 2 − 9) can be factored further.

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How do you factor a 2 – B2 equation?

When the given equation can be expressed in the form a2 – b2, it can be factored as (a +b)(a −b) ( a + b) ( a − b) . Example: Consider y2 −100 y 2 − 100. Each of the terms here can be expressed in the form of square. Here the factors are (y +10 ( y + 10) and (y −10) ( y − 10). 3. Using Identity (x+a) (x+b)

How do you factor expressions in math?

How to factor expressions. If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that. Add up to 5. Multiply together to get 4. Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1) (x+4)

What is the factorization of 1 and 4?

Multiply together to get 4 Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1) (x+4)

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