Simplify: (2a+3b)2 please give the answer
Answers
Answer:
(2a+3b)
2
=(2a)
2
+2(2a)(3b)+(3b)
2
=4a
2
+12ab+9b
2
Answer:
simplification of the expression ( 2a + 3b )² is 4a²+12ab+9b²
Step-by-step explanation:
We have to simplify the expression (2a + 3b)²
then,
(2a + 3b)² = (2a + 3b) (2a + 3b)
applying distributive law:
⇒ = 2a (2a+ 3b) + 3b (2a + 3b)
⇒ = 2a×2a + 2a×3b + 3b ( 2a + 3b )
⇒ = 2a×2a + 2a×3b + 3b×2a + 3b×3b
by applying commutative law
⇒ = 2×2×a×a + 2×3×a×b + 3×2×a×b + 3×3×b×b
⇒ = 2² a² + 6ab +6ab + 3² b²
⇒ = 4a² + 2×6ab + 9b²
⇒ = 4a² + 12ab + 9b²
Hence the required answer is 4a² + 12ab + 9b²
OR
we know that,
(A +B)² = A² + 2AB+ B²
By substituting A = 2a and B = 3b, we can find the answer