a2a square + 3 - 88 factorize
Answers
Correct Question:
→ a² + 3a - 88
Answer:
(a + 11)(a - 8)
Step-by-step explanation:
Factorisation form of a² + 3a - 88 is (a + 11)(a - 8).
We have to Factorise a² + 3a - 88
- Equation: a² + 3a - 88
Solving by Splitting Method:
a² + 3a - 88
→ a² + 11a - 8a - 88
→ a(a + 11) -8(a + 11)
→ (a + 11)(a - 8)
Therefore, Factorisation form of a² + 3a - 88 is (a + 11)(a - 8).
Question :
Factorise : a² + 3a - 88
Solution :
→ a² + 3a - 88
The above equation is in the form ax² + bx + c
Now.. we have to find a number whose sum is 'b' i.e. (+3) and product is 'c' i.e. (-88)
→ a² + 3a - 88
Now.. 11 - 8 = 3 which is 'b' and 11 × (-8) = -88 which is 'c'
So,
→ a² + (11a - 8a) - 88
→ a² + 11a - 8a - 88
Take 'a' common a² + 11a and '-8' common from -8a - 88.
→ a(a + 11) -8(a + 11)
→ (a - 8) (a + 11)
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(a - 8) (a + 11) are the factors of a² + 3a - 88.
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