Question
Simplify: $(a + b)(2a – 3b + c) – (2a – 3b)c$
✓
Answer
$(a + b)(2a – 3b + c) – (2a – 3b)c$
$= a(2a – 3b + c) + b(2a – 3b + c) – (2ac – 3bc)$
$= 2a^2- 3ab + ac + 2ab – 3b^2+ bc – 2ac + 3bc$
$= 2a^2– ab – 3b^2+ (bc + 3bc) + (ac – 2ac)$
$= 2a^2– 3b^2– ab + 4bc – ac$
$= a(2a – 3b + c) + b(2a – 3b + c) – (2ac – 3bc)$
$= 2a^2- 3ab + ac + 2ab – 3b^2+ bc – 2ac + 3bc$
$= 2a^2– ab – 3b^2+ (bc + 3bc) + (ac – 2ac)$
$= 2a^2– 3b^2– ab + 4bc – ac$
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
If a number ends in 0, 1, 4, 5, 6, or 9, is it always a square?
Find the following products: $(x + 4)(x + 7)$
→Making use of the cube root table, find the cube root $700$
→Expand the following, using suitable identities. $(2x + 9)(2x - 7)$
→The following expressions are the areas of rectangles. Find the possible lengths and breadths of these rectangles.
$x^2+ 19x - 20$
→$x^2+ 19x - 20$
Simplify the following and write as a rational number of the form $\frac{\text{p}}{\text{q}}:$ $\frac{-11}{2}+\frac{7}{6}+\frac{-5}{8}$
→Evaluate the following:$\frac{-5}{14}-\frac{-2}{7}$
→Observe the following pattern and the missing digits.
In a parallelogram $RING$ (figure), if m$∠R = 70^\circ $, find all the other angles.
→Using suitable identities, evaluate the following.
$(98)^2$
→$(98)^2$