(3x + 5) (3x + 5)
please teLL the answer using identities
Answers
Answered by
129
To find :
- (3x + 5)(3x + 5) using suitable identities
Solution :
- Identity : (a + b)(a + b) = a² + 2ab + b²
→ (3x + 5)(3x + 5) = (3x)² + 2(3x)(5) + (5)²
= 9x² + 2(15x) + 25
= 9x² + 30x + 25
Verification :
- Now, let's verify the answer by multiplying it directly.
→ (3x + 5)(3x + 5)
= (3x × 3x) + (3x × 5) + (5 × 3x) + (5 × 5)
= (3x)² + (15x) + (15x) + (5)²
= 9x² + 2(15x) + 25
= 9x² + 30x + 25
- Hence verified !
More information :
Identities :
- (a + b)(a + b) = a² + 2ab + b²
- (a – b)(a – b) = a² – 2ab + b²
- (a + b)(a – b) = a² – b²
- (x + a)(x + b) = x² + (a + b)x + ab
Answered by
33
Step-by-step explanation:
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