Question
Factorize of the following algebraic expression:
$-4(x-2 y)^2+8(x-2 y)$
$-4(x-2 y)^2+8(x-2 y)$
✓
Answer
$-4(x-2 y)^2+8(x-2 y)$
$= [-4(x - 2y) + 8] (x - 2y)$ [taking $(x 2)$ as the common factor]
$= 4[-(x - 2y) + 2] (x - 2y) [$taking $4$ as the common factor of $[-4(x - 2y) + 8]]$
$= 4(2y - x + 2)(x -2y)$
$= [-4(x - 2y) + 8] (x - 2y)$ [taking $(x 2)$ as the common factor]
$= 4[-(x - 2y) + 2] (x - 2y) [$taking $4$ as the common factor of $[-4(x - 2y) + 8]]$
$= 4(2y - x + 2)(x -2y)$
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
Using the formula $(a + b)^2= (a^2+ 2ab + b^2),$ evaluate:
$(508)^2$
→$(508)^2$
The following line graph shows the yearly sales figures for a manufacturing company.
(i) What were the sales in (a) 2002 (b) 2006?
(ii) What were the sales in (a) 2003 (b) 2005?
(iii) Compute the difference between the sales in 2002 and 2006.
(iv) In which year was there the greatest difference between the sales as compared to its previous year?
(i) What were the sales in (a) 2002 (b) 2006?
(ii) What were the sales in (a) 2003 (b) 2005?
(iii) Compute the difference between the sales in 2002 and 2006.
(iv) In which year was there the greatest difference between the sales as compared to its previous year?
Subtract: $\frac{-9}{7}\ \text{from}\ -1$
→Draw a Venn diagram showing the set of parallelograms, kites, rhombuses, rectangles, and squares. Then, answer the following questions -
(i) What is the quadrilateral that is both a kite and a parallelogram?
(ii) Can there be a quadrilateral that is both a kite and a rectangle?
(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?
(i) What is the quadrilateral that is both a kite and a parallelogram?
(ii) Can there be a quadrilateral that is both a kite and a rectangle?
(iii) Is every kite a rhombus? If not, what is the correct relationship between these two types of quadrilaterals?
Express $\frac{1.5\times10^6}{2.5\times10^{-4}}$ in the standard form.
→Find the square roots of the following number by the prime factorisation method.
400
400
Find the square root in decimal form:$9998.0001$
→Factorise the expression: $10a^2- 15b^2+ 20c^2$
→For an experiment in Botany, two different plants, plant $A$ and plant $B$ were grown under similar laboratory conditions. Their heights were measured at the end of each week for $3$ weeks. The results are shown in the graph. How much did Plant $B$ grow from the end of the $2^{nd}$ week to the end of the $3^{rd}$ week?
→Factorize of the following expressions: $1 + x + xy + x^2y$
→