5g-20g(a+b)^ factorise it
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Required Answer:-
Given to factorise:
- 5g - 20g(a + b)²
Solution:
Here, we will express the polynomial as a difference of two squares and then we will factorise it.
Here is the solution.
5g - 20g(a + b)²
= 5g [1 - 4(a + b)²]
= 5g[1² - (2(a + b))²]
= 5g[1² - (2a + 2b)²]
= 5g[(1 + 2a + 2b)(1 - 2a - 2b)]
= 5g(1 + 2a + 2b)(1 - 2a - 2b)
Hence, the factorised form is 5g(1 + 2a + 2b)(1 - 2a - 2b)
Answer:
- The factorised form of the given polynomial is 5g(1 + 2a + 2b)(1 - 2a - 2b)
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