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 : [tex]q^2-12q+36[/tex]
We have to factorize the given equation completely.
Consider the given equation [tex]q^2-12q+36[/tex]
the given equation [tex]q^2-12q+36[/tex] is a quadratic equation, we will solve it using middle term splitting method,
-12q can be written as - 6q - 6q
[tex]q^2-12q+36[/tex] becomes,
[tex]\Rightarrow q^2-6q-6q+36[/tex]
Taking q common from first two term and -6 from last two term, we have,
[tex]\Rightarrow q(q-6)-6(q-6)[/tex]
[tex]\Rightarrow (q-6)(q-6)[/tex]
Thus, option (b) is correct.
2)
Given : [tex]9x^2+12x+4[/tex]
Consider the given equation [tex]9x^2+12x+4[/tex]
the given equation [tex]9x^2+12x+4[/tex] is a quadratic equation, we will solve it using middle term splitting method,
12x can be written as 6x + 6x
[tex]9x^2+12x+4[/tex] becomes,
[tex]\Rightarrow 9x^2+6x+6x+4[/tex]
Taking 3x common from first two term and 2 from last two term, we have,
[tex]\Rightarrow 3x(3x+2)+2(3x+2)[/tex]
[tex]\Rightarrow (3x+2)(3x+2)=(3x+2)^2[/tex]
Thus, option (a) is correct.
