factorise the following expressions
(i) c²-4c-12
(ii) y²-10y+25
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Required Answer:-
Given To Factorise:
- c² - 4c - 12
- y² - 10y + 25
Solution:
Question 1:
We have,
c² - 4c - 12
= c² - 6c + 2c - 12 ( -6 + 2 = -4 and -6 × 2 = -12)
= c(c - 6) + 2(c - 6)
= (c + 2)(c - 6)
★ Hence, the factorised form of the given quadratic polynomial is (c + 2)(c - 6)
Question 2:
We have,
y² - 10y + 25
= y² - 5y - 5y + 25 (-5 - 5 = -10 and (-5) × (-5) = 25)
= y(y - 5) - 5(y - 5)
= (y - 5)(y - 5)
= (y - 5)²
★ Hence, the factorised form of the polynomial is (y - 5)²
Answer:
- Factorised form - (c + 2)(c - 6)
- Factorised form - (y - 5)²
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