Download App

Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsPolynomials3 Marks
Question
Factorise : $\left(y^2-3 y\right)^2-5\left(y^2-3 y\right)-50$.
✓

Answer

Let $\left(y^2-3 y\right)=x$
$\therefore\left(y^2-3 y\right) 2-5\left(y^2-3 y\right)-50=x^2-5 x-50$
$=x^2-10 x+5 x-50$
$=x(x-10)+5(x-10)$
$=(x-10)(x+5)$
$=\left(y^2-3 y-10\right)\left(y^2-3 y+5\right)$
$=\left[y^2-5 y+2 y-10\right]\left(y^2-3 y+5\right)$
$=[y(y-5)+2(y-5)]\left(y^2-3 y+5\right)$
$=(y-5)(y+2)\left(y^2-3 y+5\right)$

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 "3 Mark Question" from Polynomials→Polynomials — all question types→Maths STD 9 question papers→Maharashtra Board STD 9 question papers→Maharashtra Board question paper generator→

Similar questions

Divide p(x) = $(4x^2 - x + 2) by (x + 1)$
→
Find the value of $x^3 + y^3 - 12xy + 64,$ when $ x + y = -4$
→
Factorize:
$7(x - 2y)^2 - 25(x - 2y) + 12$
→
If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
→
ABCD is a parallelogram in which AB = 9.5cm and its perimeter is 30cm. Find the length of each side of the parallelogram.
→
Give the geometric representations of the following equations:
  1. On the number line.
  2. On the Cartesain plane.
2x + 9 = 0
→
Solve the following sets of simultaneous equations : x + y = 4 ; 2x – 5y = 1
→
Prove that:$\Big[8^{-\frac{2}{3}}\times2^{\frac{1}{2}}\times25^{-\frac{5}{4}}\Big]\div\Big[32^{-\frac{2}{5}}\times125^{-\frac{5}{6}}\Big]=\sqrt{2}$
→
If a wheel has six spokes equally spaced, then find the measure of the angle between two adjacent spokes.
→
Prove that the sum of exterior angles of a triangle, obtained by extending its sides in the same direction is 360°.
→