Question
Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2 a^2x^2+ 2ax + 1$
✓
Answer
$ a^2 x^2+2 a x+1 $
$ =(a x)^2+2 \times a x \times 1+(1)^2 $
$ =(a x+1)^2 $
$ =(a x+1)(a x+1) $
$ =(a x)^2+2 \times a x \times 1+(1)^2 $
$ =(a x+1)^2 $
$ =(a x+1)(a 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.
Explore more
Similar questions
Fill in the blanks: $\sqrt[3]{125\times27}=3\times...$
→Multiply the following: $(a^2- b^2), (a^2+ b^2)$
→Express the $31860000000$ in standard form.
→Draw the net of the following cuboid:
If $a=-1$ and $b=2$, then find the value of the following.
(i) $a^b+b^a$ $\qquad$ (ii) $a^b-b^a$ $\qquad$
(iii) $a^b \times b^a$ $\qquad$ (iv) $a^b \div b^a$
→(i) $a^b+b^a$ $\qquad$ (ii) $a^b-b^a$ $\qquad$
(iii) $a^b \times b^a$ $\qquad$ (iv) $a^b \div b^a$
Factorise the following, using the identity $a^2+2 a b+b^2=(a+b)^2$
$x^2+14 x+49$
→$x^2+14 x+49$
Look at the shapes given below and state these are polyhedra using Euler’s formula.
The perimeter of a floor of a room is $30\ m$ and its height is $3\ m.$ Find the area of four walls of the room.
→By what least number should the given number be multiplied to get a perfect square number? In case, find the number whose square is the new number. $2156$
→Find the square of the number $42$ without actual multiplication.
→