Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 9MathematicsExploring Algebraic IdentitiesVisual models of identitiesHardLevel 66
0 reads0 ratings0 helpful

If a visual model shows (9a^2-24ab+16b^2) as a perfect square, which one is it?

Advertisement

Answer and explanation

Correct answer: ((3a-4b)^2)

(9a^2=(3a)^2) and (16b^2=(4b)^2); the middle term is negative, so it is ((3a-4b)^2). Exam tip: use the sign to decide addition or subtraction.

Related tags

Visual SquareNegative Middle TermIdentity

Frequently asked questions

What is the correct answer to this question?

((3a-4b)^2)

Why is this the correct answer?

(9a^2=(3a)^2) and (16b^2=(4b)^2); the middle term is negative, so it is ((3a-4b)^2). Exam tip: use the sign to decide addition or subtraction.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Exploring Algebraic Identities. Topic: Visual models of identities.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1A square has side \(a+b\). Which identity is shown by its area model?
  2. 2A diagram has two small squares with sides \(a\) and \(b\) and two equal rectangles. What is the total area?
  3. 3If the side of a big square is \(x+3\), how will its area be written?
  4. 4A square has side \(a\). A corner square of \(b \times b\) is removed. The remaining area is related to which expression?
  5. 5In a visual model \(a^2-b^2\) is rearranged into two rectangles. Which factorisation does it show?
  6. 6What is the area of a square with side \(a-b\)?
  7. 7In a diagram two \(a \times b\) rectangles are subtracted from a big \(a \times a\) square and a \(b \times b\) square is added back. Which identity is formed?
  8. 8What is the area of a rectangle with length \(x+2\) and breadth \(x+5\) in visual form?
  9. 9In a tile model there is one \(x^2\) tile and \(8\) \(x\)-tiles. If there are \(16\) constant tiles then the complete square models what?
  10. 10If in a square model the total area of the two middle rectangles is \(10x\) and the small square area is \(25\), what is the side?
Advertisement