Solve: (x+2)^2-6(x+2)+9 - Vidyadip

Question

Solve:
$(x+2)^2-6(x+2)+9$

✓

Answer

$(x+2)^2-6(x+2)+9$
$=(x+2)^2-2 \cdot(x+2) \cdot 3+3^3$
$=[(x+2)-3]^2$
$=(x+2-3)^2$
$=(x-1)^2$
$=(x-1)(x-1)$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Mark Question" from Factorization→Factorization — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Find the squares of the following numbers using the identity $(a-b)^2=a^2-2 a b+b^2$ :
$999$

Divide:
$5\ \text{by}\ \frac{-5}{7}$

Divide $a x^2-a^2$ by (ax $+a y$ )

Using the method of successive subtraction examine whether or not the following numbers are perfect cubes:
130

Observe the tables given below and in each case find whether x and y are inversely proportional.

x	9	3	6	36
y	4	12	9	1

Find the squares of the following numbers using the identity $(a+b)^2=a^2+2 a b+b^2$ :
405

Find x, if
$\Big( \frac{1}{4}\Big)^{-4}\times\Big(\frac{1}{4}\Big)^{-8}=\Big(\frac{1}{4}\Big)^{-4\text{x}}$

Write the possible unit's digits of the square root of the following numbers. these numbers are odd square roots?
$9801$

Divide $5 x^3-15 x^2+25 x$ by $5 x$

Find the square root of the following by long division method:
12544