Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
y2 + 5y − 36
Advertisements
उत्तर
\[\text{ To factorise }y^2 + 5y - 36,\text{ we will find two numbers p and q such that }p + q = 5\text{ and }pq = - 36 . \]
Now,
\[9 + ( - 4) = 5 \]
and
\[9 \times ( - 4) = - 36\]
\[\text{ Splitting the middle term 5y in the given quadratic as } - 4y + 9y, \text{ we get: }\]
\[ y^2 + 5y - 36 = y^2 - 4y + 9y - 36\]
\[ = ( y^2 - 4y) + (9y - 36)\]
\[ = y(y - 4) + 9(y - 4)\]
\[ = (y + 9)(y - 4)\]
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
Factorize each of the following algebraic expressions:
x3(a − 2b) + x2(a − 2b)
Factorize each of the following expressions:
p2q − pr2 − pq + r2
Factorize each of the following algebraic expression:
4x4 + 1
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expressions:
x2 + 9y2 − 6xy − 25a2
Factorize each of the following algebraic expression:
x2 + 12x − 45
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
The value of p in the equation `(2"p")/3` = 10 is ________
