Answer:
1)option (b) is correct.
2) option (a) is correct.
Step-by-step explanation:
Factorization is breaking of an expression into smaller form such that the product of those factors gives back the same expression.
1) Given : \(q^2-12q+36\)
We have to factorize the given equation completely.
Consider the given equation \(q^2-12q+36\)
the given equation \(q^2-12q+36\) is a quadratic equation, we will solve it using middle term splitting method,
-12q can be written as - 6q - 6q
\(q^2-12q+36\) becomes,
\(\Rightarrow q^2-6q-6q+36\)
Taking q common from first two term and -6 from last two term, we have,
\(\Rightarrow q(q-6)-6(q-6)\)
\(\Rightarrow (q-6)(q-6)\)
Thus, option (b) is correct.
2)
Given : \(9x^2+12x+4\)
Consider the given equation \(9x^2+12x+4\)
the given equation \(9x^2+12x+4\) is a quadratic equation, we will solve it using middle term splitting method,
12x can be written as 6x + 6x
\(9x^2+12x+4\) becomes,
\(\Rightarrow 9x^2+6x+6x+4\)
Taking 3x common from first two term and 2 from last two term, we have,
\(\Rightarrow 3x(3x+2)+2(3x+2)\)
\(\Rightarrow (3x+2)(3x+2)=(3x+2)^2\)
Thus, option (a) is correct.
