Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
a2 + 4ab + 3b2
Advertisements
Solution
\[a^2 + 4ab + 3 b^2 \]
\[ = a^2 + 4ab + 4 b^2 - b^2 \]
\[ = [ a^2 + 2 \times a \times 2b + (2b )^2 ] - b^2 \]
\[ = (a + 2b )^2 - b^2 \]
\[ = [(a + 2b) - b][(a + 2b) + b]\]
\[ = (a + 2b - b)(a + 2b + b)\]
\[ = (a + b)(a + 3b)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
Factorize each of the following algebraic expression:
a2 − 2ab + b2 − c2
Factorize each of the following algebraic expression:
96 − 4x − x2
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
a2 − b2 + 2bc − c2
Factorize each of the following algebraic expression:
y2 + 5y − 36
Factorise the following expression and write in the product form.
tr2s3
Factorise the following expression.
p2 − q2
Factorise the following expression.
`"p"^2-1/25`
Factorise the following expression.
2x2 − 8y2
