Question

Factorise of 3ac+8bc-6ac-10bd

Answer 1

Answer :

›»› 3ac + 8bc - 6ac - 10bd = -(3ac - 8bc + 10bd)

Given :

• 3ac + 8bc - 6ac - 10bd

To Factorize :

• 3ac + 8bc - 6ac - 10bd

How To Factorize ?

❒ Let's see one example that how to Factorize any Problem and understand the steps.

✒ Factozisation :

Factorizing is to make a single term: try to write everything as products (multiplication), for example:

→ 6x² - 9x + 10 = (2x - 5) (3x - 2)

Step ① :

Find a common factor

Example:

→ 4xy + x⁴ + x = x(4x + x³ + 1)

Step ② :

Count the number of terms

(terms are separated by + or −)

If none of these methods work, re-arrange the terms, or remove brackets and start again$.$

Required Solution :

⇛ 3ac + 8bc - 6ac - 10bd

Organize the similar terms,

⇛ (3 - 6)ac + 8bc - 10bd

Arrange the constant term,

⇛ -3ac + 8bc - 10bd

Bind the expression with the common factor -1,

⇛ -(3ac - 8bc + 10bd)

║Hence, the factor of 3ac + 8bc - 6ac - 10bd is -(3ac - 8bc + 10bd).║